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1,059,120

1,059,120 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.).

1,059,120 (one million fifty-nine thousand one hundred twenty) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 5 × 1,471. Its proper divisors sum to 2,500,176, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x102930.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
219,501
Square (n²)
1,121,735,174,400
Cube (n³)
1,188,052,157,910,528,000
Divisor count
60
σ(n) — sum of divisors
3,559,296
φ(n) — Euler's totient
282,240
Sum of prime factors
1,490

Primality

Prime factorization: 2 4 × 3 2 × 5 × 1471

Nearest primes: 1,059,119 (−1) · 1,059,131 (+11)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 36 · 40 · 45 · 48 · 60 · 72 · 80 · 90 · 120 · 144 · 180 · 240 · 360 · 720 · 1471 · 2942 · 4413 · 5884 · 7355 · 8826 · 11768 · 13239 · 14710 · 17652 · 22065 · 23536 · 26478 · 29420 · 35304 · 44130 · 52956 · 58840 · 66195 · 70608 · 88260 · 105912 · 117680 · 132390 · 176520 · 211824 · 264780 · 353040 · 529560 (half) · 1059120
Aliquot sum (sum of proper divisors): 2,500,176
Factor pairs (a × b = 1,059,120)
1 × 1059120
2 × 529560
3 × 353040
4 × 264780
5 × 211824
6 × 176520
8 × 132390
9 × 117680
10 × 105912
12 × 88260
15 × 70608
16 × 66195
18 × 58840
20 × 52956
24 × 44130
30 × 35304
36 × 29420
40 × 26478
45 × 23536
48 × 22065
60 × 17652
72 × 14710
80 × 13239
90 × 11768
120 × 8826
144 × 7355
180 × 5884
240 × 4413
360 × 2942
720 × 1471
First multiples
1,059,120 · 2,118,240 (double) · 3,177,360 · 4,236,480 · 5,295,600 · 6,354,720 · 7,413,840 · 8,472,960 · 9,532,080 · 10,591,200

Sums & aliquot sequence

As consecutive integers: 353,039 + 353,040 + 353,041 211,822 + 211,823 + 211,824 + 211,825 + 211,826 117,676 + 117,677 + … + 117,684 70,601 + 70,602 + … + 70,615
Aliquot sequence: 1,059,120 → 2,500,176 → 5,020,176 → 10,089,968 → 12,252,352 → 16,037,660 → 17,641,468 → 15,945,092 → 11,958,826 → 7,793,654 → 4,959,634 → 2,738,606 → 1,685,338 → 975,782 → 487,894 → 324,842 → 232,054 — unresolved within range

Continued fraction of √n

√1,059,120 = [1029; (7, 2, 1, 1, 1, 7, 1, 10, 1, 1, 4, 2, 2, 1, 6, 1, 2, 228, 2, 1, 6, 1, 2, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one million fifty-nine thousand one hundred twenty
Ordinal
1059120th
Binary
100000010100100110000
Octal
4024460
Hexadecimal
0x102930
Base64
ECkw
One's complement
4,293,908,175 (32-bit)
Scientific notation
1.05912 × 10⁶
As a duration
1,059,120 s = 12 days, 6 hours, 12 minutes
In other bases
ternary (3) 1222210211200
quaternary (4) 10002210300
quinary (5) 232342440
senary (6) 34411200
septenary (7) 12000546
nonary (9) 1883750
undecimal (11) 663807
duodecimal (12) 430b00
tridecimal (13) 2b10ca
tetradecimal (14) 1d7d96
pentadecimal (15) 15dc30

As an angle

1,059,120° = 2,942 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Chinese
一百零五萬九千一百二十
Chinese (financial)
壹佰零伍萬玖仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٠٥٩١٢٠ Devanagari १०५९१२० Bengali ১০৫৯১২০ Tamil ௧௦௫௯௧௨௦ Thai ๑๐๕๙๑๒๐ Tibetan ༡༠༥༩༡༢༠ Khmer ១០៥៩១២០ Lao ໑໐໕໙໑໒໐ Burmese ၁၀၅၉၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1059120, here are decompositions:

  • 17 + 1059103 = 1059120
  • 43 + 1059077 = 1059120
  • 47 + 1059073 = 1059120
  • 53 + 1059067 = 1059120
  • 59 + 1059061 = 1059120
  • 61 + 1059059 = 1059120
  • 103 + 1059017 = 1059120
  • 113 + 1059007 = 1059120

Showing the first eight; more decompositions exist.

Hex color
#102930
RGB(16, 41, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.41.48.

Address
0.16.41.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.41.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 9120 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9120-05-01 (DMMYYYY (Euro, single-digit day))
  • 9120-10-05 (MMDYYYY (US, single-digit day))
  • 9120-05-10 (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 1,059,120 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 1059120 first appears in π at position 792,021 of the decimal expansion (the 792,021ordinal-suffix:st 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°.