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1,056,240

1,056,240 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.).

1,056,240 (one million fifty-six thousand two hundred forty) is an even 7-digit number. It is a composite number with 100 divisors, and factors as 2⁴ × 3⁴ × 5 × 163. Its proper divisors sum to 2,634,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101DF0.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
426,501
Square (n²)
1,115,642,937,600
Cube (n³)
1,178,386,696,410,624,000
Divisor count
100
σ(n) — sum of divisors
3,690,984
φ(n) — Euler's totient
279,936
Sum of prime factors
188

Primality

Prime factorization: 2 4 × 3 4 × 5 × 163

Nearest primes: 1,056,217 (−23) · 1,056,241 (+1)

Divisors & multiples

All divisors (100)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 27 · 30 · 36 · 40 · 45 · 48 · 54 · 60 · 72 · 80 · 81 · 90 · 108 · 120 · 135 · 144 · 162 · 163 · 180 · 216 · 240 · 270 · 324 · 326 · 360 · 405 · 432 · 489 · 540 · 648 · 652 · 720 · 810 · 815 · 978 · 1080 · 1296 · 1304 · 1467 · 1620 · 1630 · 1956 · 2160 · 2445 · 2608 · 2934 · 3240 · 3260 · 3912 · 4401 · 4890 · 5868 · 6480 · 6520 · 7335 · 7824 · 8802 · 9780 · 11736 · 13040 · 13203 · 14670 · 17604 · 19560 · 22005 · 23472 · 26406 · 29340 · 35208 · 39120 · 44010 · 52812 · 58680 · 66015 · 70416 · 88020 · 105624 · 117360 · 132030 · 176040 · 211248 · 264060 · 352080 · 528120 (half) · 1056240
Aliquot sum (sum of proper divisors): 2,634,744
Factor pairs (a × b = 1,056,240)
1 × 1056240
2 × 528120
3 × 352080
4 × 264060
5 × 211248
6 × 176040
8 × 132030
9 × 117360
10 × 105624
12 × 88020
15 × 70416
16 × 66015
18 × 58680
20 × 52812
24 × 44010
27 × 39120
30 × 35208
36 × 29340
40 × 26406
45 × 23472
48 × 22005
54 × 19560
60 × 17604
72 × 14670
80 × 13203
81 × 13040
90 × 11736
108 × 9780
120 × 8802
135 × 7824
144 × 7335
162 × 6520
163 × 6480
180 × 5868
216 × 4890
240 × 4401
270 × 3912
324 × 3260
326 × 3240
360 × 2934
405 × 2608
432 × 2445
489 × 2160
540 × 1956
648 × 1630
652 × 1620
720 × 1467
810 × 1304
815 × 1296
978 × 1080
First multiples
1,056,240 · 2,112,480 (double) · 3,168,720 · 4,224,960 · 5,281,200 · 6,337,440 · 7,393,680 · 8,449,920 · 9,506,160 · 10,562,400

Sums & aliquot sequence

As consecutive integers: 352,079 + 352,080 + 352,081 211,246 + 211,247 + 211,248 + 211,249 + 211,250 117,356 + 117,357 + … + 117,364 70,409 + 70,410 + … + 70,423
Aliquot sequence: 1,056,240 → 2,634,744 → 4,893,576 → 8,066,424 → 12,099,696 → 23,624,208 → 42,491,166 → 46,777,314 → 48,768,414 → 48,768,426 → 77,663,574 → 90,607,542 → 106,730,058 → 106,730,070 → 152,069,898 → 154,913,622 → 177,774,762 — unresolved within range

Continued fraction of √n

√1,056,240 = [1027; (1, 2, 1, 3, 1, 1, 10, 4, 1, 13, 2, 7, 1, 16, 9, 1, 1, 227, 1, 6, 8, 1, 1, 3, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one million fifty-six thousand two hundred forty
Ordinal
1056240th
Binary
100000001110111110000
Octal
4016760
Hexadecimal
0x101DF0
Base64
EB3w
One's complement
4,293,911,055 (32-bit)
Scientific notation
1.05624 × 10⁶
As a duration
1,056,240 s = 12 days, 5 hours, 24 minutes
In other bases
ternary (3) 1222122220000
quaternary (4) 10001313300
quinary (5) 232244430
senary (6) 34350000
septenary (7) 11656263
nonary (9) 1878800
undecimal (11) 661629
duodecimal (12) 42b300
tridecimal (13) 2ac9c3
tetradecimal (14) 1d6cda
pentadecimal (15) 15ce60

As an angle

1,056,240° = 2,934 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零五萬六千二百四十
Chinese (financial)
壹佰零伍萬陸仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٠٥٦٢٤٠ Devanagari १०५६२४० Bengali ১০৫৬২৪০ Tamil ௧௦௫௬௨௪௦ Thai ๑๐๕๖๒๔๐ Tibetan ༡༠༥༦༢༤༠ Khmer ១០៥៦២៤០ Lao ໑໐໕໖໒໔໐ Burmese ၁၀၅၆၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056240, here are decompositions:

  • 23 + 1056217 = 1056240
  • 37 + 1056203 = 1056240
  • 61 + 1056179 = 1056240
  • 67 + 1056173 = 1056240
  • 71 + 1056169 = 1056240
  • 79 + 1056161 = 1056240
  • 127 + 1056113 = 1056240
  • 131 + 1056109 = 1056240

Showing the first eight; more decompositions exist.

Hex color
#101DF0
RGB(16, 29, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.29.240.

Address
0.16.29.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.29.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 6240 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6240-05-01 (DMMYYYY (Euro, single-digit day))
  • 6240-10-05 (MMDYYYY (US, single-digit day))
  • 6240-05-10 (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 1,056,240 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 1056240 first appears in π at position 281,358 of the decimal expansion (the 281,358ordinal-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

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