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1,010,240

1,010,240 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.).

1,010,240 (one million ten thousand two hundred forty) is an even 7-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 5 × 7 × 11 × 41. Its proper divisors sum to 2,062,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6A40.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
420,101
Square (n²)
1,020,584,857,600
Cube (n³)
1,031,035,646,541,824,000
Divisor count
112
σ(n) — sum of divisors
3,072,384
φ(n) — Euler's totient
307,200
Sum of prime factors
76

Primality

Prime factorization: 2 6 × 5 × 7 × 11 × 41

Nearest primes: 1,010,237 (−3) · 1,010,263 (+23)

Divisors & multiples

All divisors (112)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 11 · 14 · 16 · 20 · 22 · 28 · 32 · 35 · 40 · 41 · 44 · 55 · 56 · 64 · 70 · 77 · 80 · 82 · 88 · 110 · 112 · 140 · 154 · 160 · 164 · 176 · 205 · 220 · 224 · 280 · 287 · 308 · 320 · 328 · 352 · 385 · 410 · 440 · 448 · 451 · 560 · 574 · 616 · 656 · 704 · 770 · 820 · 880 · 902 · 1120 · 1148 · 1232 · 1312 · 1435 · 1540 · 1640 · 1760 · 1804 · 2240 · 2255 · 2296 · 2464 · 2624 · 2870 · 3080 · 3157 · 3280 · 3520 · 3608 · 4510 · 4592 · 4928 · 5740 · 6160 · 6314 · 6560 · 7216 · 9020 · 9184 · 11480 · 12320 · 12628 · 13120 · 14432 · 15785 · 18040 · 18368 · 22960 · 24640 · 25256 · 28864 · 31570 · 36080 · 45920 · 50512 · 63140 · 72160 · 91840 · 101024 · 126280 · 144320 · 202048 · 252560 · 505120 (half) · 1010240
Aliquot sum (sum of proper divisors): 2,062,144
Factor pairs (a × b = 1,010,240)
1 × 1010240
2 × 505120
4 × 252560
5 × 202048
7 × 144320
8 × 126280
10 × 101024
11 × 91840
14 × 72160
16 × 63140
20 × 50512
22 × 45920
28 × 36080
32 × 31570
35 × 28864
40 × 25256
41 × 24640
44 × 22960
55 × 18368
56 × 18040
64 × 15785
70 × 14432
77 × 13120
80 × 12628
82 × 12320
88 × 11480
110 × 9184
112 × 9020
140 × 7216
154 × 6560
160 × 6314
164 × 6160
176 × 5740
205 × 4928
220 × 4592
224 × 4510
280 × 3608
287 × 3520
308 × 3280
320 × 3157
328 × 3080
352 × 2870
385 × 2624
410 × 2464
440 × 2296
448 × 2255
451 × 2240
560 × 1804
574 × 1760
616 × 1640
656 × 1540
704 × 1435
770 × 1312
820 × 1232
880 × 1148
902 × 1120
First multiples
1,010,240 · 2,020,480 (double) · 3,030,720 · 4,040,960 · 5,051,200 · 6,061,440 · 7,071,680 · 8,081,920 · 9,092,160 · 10,102,400

Sums & aliquot sequence

As consecutive integers: 202,046 + 202,047 + 202,048 + 202,049 + 202,050 144,317 + 144,318 + … + 144,323 91,835 + 91,836 + … + 91,845 28,847 + 28,848 + … + 28,881
Aliquot sequence: 1,010,240 2,062,144 2,615,520 5,624,880 12,588,240 33,123,120 70,917,840 201,290,928 319,227,840 786,281,760 2,140,889,760 5,469,913,440 13,216,574,016 — keeps growing

Continued fraction of √n

√1,010,240 = [1005; (9, 2, 1, 6, 3, 1, 1, 1, 1, 4, 1, 1, 1, 1, 3, 6, 1, 2, 9, 2010)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million ten thousand two hundred forty
Ordinal
1010240th
Binary
11110110101001000000
Octal
3665100
Hexadecimal
0xF6A40
Base64
D2pA
One's complement
4,293,957,055 (32-bit)
Scientific notation
1.01024 × 10⁶
As a duration
1,010,240 s = 11 days, 16 hours, 37 minutes, 20 seconds
In other bases
ternary (3) 1220022210022
quaternary (4) 3312221000
quinary (5) 224311430
senary (6) 33353012
septenary (7) 11405210
nonary (9) 1808708
undecimal (11) 630010
duodecimal (12) 408768
tridecimal (13) 294a9a
tetradecimal (14) 1c4240
pentadecimal (15) 14e4e5

As an angle

1,010,240° = 2,806 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零一萬零二百四十
Chinese (financial)
壹佰零壹萬零貳佰肆拾
In other modern scripts
Eastern Arabic ١٠١٠٢٤٠ Devanagari १०१०२४० Bengali ১০১০২৪০ Tamil ௧௦௧௦௨௪௦ Thai ๑๐๑๐๒๔๐ Tibetan ༡༠༡༠༢༤༠ Khmer ១០១០២៤០ Lao ໑໐໑໐໒໔໐ Burmese ၁၀၁၀၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010240, here are decompositions:

  • 3 + 1010237 = 1010240
  • 37 + 1010203 = 1010240
  • 61 + 1010179 = 1010240
  • 73 + 1010167 = 1010240
  • 97 + 1010143 = 1010240
  • 109 + 1010131 = 1010240
  • 157 + 1010083 = 1010240
  • 277 + 1009963 = 1010240

Showing the first eight; more decompositions exist.

Hex color
#0F6A40
RGB(15, 106, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.106.64.

Address
0.15.106.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.106.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 0240 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0240-10-01 (MMDYYYY (US, single-digit day))
  • 0240-01-10 (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 1,010,240 and was likely granted around 1911.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.