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1,059,240

1,059,240 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,059,240 (one million fifty-nine thousand two hundred forty) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 7 × 13 × 97. Its proper divisors sum to 2,892,120, more than the number itself, making it an abundant number. It is the 1,455th triangular number. Written other ways, in hexadecimal, 0x1029A8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Hexagonal Odious Number Pernicious Number Practical Number Triangular Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
429,501
Square (n²)
1,121,989,377,600
Cube (n³)
1,188,456,028,329,024,000
Divisor count
128
σ(n) — sum of divisors
3,951,360
φ(n) — Euler's totient
221,184
Sum of prime factors
131

Primality

Prime factorization: 2 3 × 3 × 5 × 7 × 13 × 97

Nearest primes: 1,059,221 (−19) · 1,059,251 (+11)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 13 · 14 · 15 · 20 · 21 · 24 · 26 · 28 · 30 · 35 · 39 · 40 · 42 · 52 · 56 · 60 · 65 · 70 · 78 · 84 · 91 · 97 · 104 · 105 · 120 · 130 · 140 · 156 · 168 · 182 · 194 · 195 · 210 · 260 · 273 · 280 · 291 · 312 · 364 · 388 · 390 · 420 · 455 · 485 · 520 · 546 · 582 · 679 · 728 · 776 · 780 · 840 · 910 · 970 · 1092 · 1164 · 1261 · 1358 · 1365 · 1455 · 1560 · 1820 · 1940 · 2037 · 2184 · 2328 · 2522 · 2716 · 2730 · 2910 · 3395 · 3640 · 3783 · 3880 · 4074 · 5044 · 5432 · 5460 · 5820 · 6305 · 6790 · 7566 · 8148 · 8827 · 10088 · 10185 · 10920 · 11640 · 12610 · 13580 · 15132 · 16296 · 17654 · 18915 · 20370 · 25220 · 26481 · 27160 · 30264 · 35308 · 37830 · 40740 · 44135 · 50440 · 52962 · 70616 · 75660 · 81480 · 88270 · 105924 · 132405 · 151320 · 176540 · 211848 · 264810 · 353080 · 529620 (half) · 1059240
Aliquot sum (sum of proper divisors): 2,892,120
Factor pairs (a × b = 1,059,240)
1 × 1059240
2 × 529620
3 × 353080
4 × 264810
5 × 211848
6 × 176540
7 × 151320
8 × 132405
10 × 105924
12 × 88270
13 × 81480
14 × 75660
15 × 70616
20 × 52962
21 × 50440
24 × 44135
26 × 40740
28 × 37830
30 × 35308
35 × 30264
39 × 27160
40 × 26481
42 × 25220
52 × 20370
56 × 18915
60 × 17654
65 × 16296
70 × 15132
78 × 13580
84 × 12610
91 × 11640
97 × 10920
104 × 10185
105 × 10088
120 × 8827
130 × 8148
140 × 7566
156 × 6790
168 × 6305
182 × 5820
194 × 5460
195 × 5432
210 × 5044
260 × 4074
273 × 3880
280 × 3783
291 × 3640
312 × 3395
364 × 2910
388 × 2730
390 × 2716
420 × 2522
455 × 2328
485 × 2184
520 × 2037
546 × 1940
582 × 1820
679 × 1560
728 × 1455
776 × 1365
780 × 1358
840 × 1261
910 × 1164
970 × 1092
First multiples
1,059,240 · 2,118,480 (double) · 3,177,720 · 4,236,960 · 5,296,200 · 6,355,440 · 7,414,680 · 8,473,920 · 9,533,160 · 10,592,400

Sums & aliquot sequence

As consecutive integers: 353,079 + 353,080 + 353,081 211,846 + 211,847 + 211,848 + 211,849 + 211,850 151,317 + 151,318 + … + 151,323 81,474 + 81,475 + … + 81,486
Aliquot sequence: 1,059,240 → 2,892,120 → 7,959,720 → 16,171,800 → 33,962,640 → 71,322,288 → 117,426,048 → 208,647,552 → 345,573,528 → 558,205,032 → 1,263,775,128 → 2,675,269,992 → 4,228,654,488 → 6,846,097,512 → 10,875,262,488 — keeps growing

Continued fraction of √n

√1,059,240 = [1029; (5, 6, 3, 5, 2, 1, 1, 2, 5, 1, 3, 6, 1, 6, 3, 1, 5, 2, 1, 1, 2, 5, 3, 6, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one million fifty-nine thousand two hundred forty
Ordinal
1059240th
Binary
100000010100110101000
Octal
4024650
Hexadecimal
0x1029A8
Base64
ECmo
One's complement
4,293,908,055 (32-bit)
Scientific notation
1.05924 × 10⁶
As a duration
1,059,240 s = 12 days, 6 hours, 14 minutes
In other bases
ternary (3) 1222211000010
quaternary (4) 10002212220
quinary (5) 232343430
senary (6) 34411520
septenary (7) 12001110
nonary (9) 1884003
undecimal (11) 663906
duodecimal (12) 430ba0
tridecimal (13) 2b1190
tetradecimal (14) 1d8040
pentadecimal (15) 15dcb0

As an angle

1,059,240° = 2,942 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零五萬九千二百四十
Chinese (financial)
壹佰零伍萬玖仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٠٥٩٢٤٠ Devanagari १०५९२४० Bengali ১০৫৯২৪০ Tamil ௧௦௫௯௨௪௦ Thai ๑๐๕๙๒๔๐ Tibetan ༡༠༥༩༢༤༠ Khmer ១០៥៩២៤០ Lao ໑໐໕໙໒໔໐ Burmese ၁၀၅၉၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1059240, here are decompositions:

  • 19 + 1059221 = 1059240
  • 23 + 1059217 = 1059240
  • 31 + 1059209 = 1059240
  • 43 + 1059197 = 1059240
  • 59 + 1059181 = 1059240
  • 71 + 1059169 = 1059240
  • 79 + 1059161 = 1059240
  • 103 + 1059137 = 1059240

Showing the first eight; more decompositions exist.

Hex color
#1029A8
RGB(16, 41, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.41.168.

Address
0.16.41.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.41.168

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 9240 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9240-05-01 (DMMYYYY (Euro, single-digit day))
  • 9240-10-05 (MMDYYYY (US, single-digit day))
  • 9240-05-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,059,240 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1059240 first appears in π at position 43,617 of the decimal expansion (the 43,617ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.