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120,888

120,888 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.).

120,888 (one hundred twenty thousand eight hundred eighty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 23 × 73. Its proper divisors sum to 225,432, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D838.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
888,021
Square (n²)
14,613,908,544
Cube (n³)
1,766,646,176,067,072
Divisor count
48
σ(n) — sum of divisors
346,320
φ(n) — Euler's totient
38,016
Sum of prime factors
108

Primality

Prime factorization: 2 3 × 3 2 × 23 × 73

Nearest primes: 120,877 (−11) · 120,889 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 23 · 24 · 36 · 46 · 69 · 72 · 73 · 92 · 138 · 146 · 184 · 207 · 219 · 276 · 292 · 414 · 438 · 552 · 584 · 657 · 828 · 876 · 1314 · 1656 · 1679 · 1752 · 2628 · 3358 · 5037 · 5256 · 6716 · 10074 · 13432 · 15111 · 20148 · 30222 · 40296 · 60444 (half) · 120888
Aliquot sum (sum of proper divisors): 225,432
Factor pairs (a × b = 120,888)
1 × 120888
2 × 60444
3 × 40296
4 × 30222
6 × 20148
8 × 15111
9 × 13432
12 × 10074
18 × 6716
23 × 5256
24 × 5037
36 × 3358
46 × 2628
69 × 1752
72 × 1679
73 × 1656
92 × 1314
138 × 876
146 × 828
184 × 657
207 × 584
219 × 552
276 × 438
292 × 414
First multiples
120,888 · 241,776 (double) · 362,664 · 483,552 · 604,440 · 725,328 · 846,216 · 967,104 · 1,087,992 · 1,208,880

Sums & aliquot sequence

As consecutive integers: 40,295 + 40,296 + 40,297 13,428 + 13,429 + … + 13,436 7,548 + 7,549 + … + 7,563 5,245 + 5,246 + … + 5,267
Aliquot sequence: 120,888 225,432 411,048 841,752 1,527,888 2,464,912 2,310,886 1,197,458 598,732 491,896 430,424 383,896 351,944 366,256 408,248 357,232 345,848 — unresolved within range

Continued fraction of √n

√120,888 = [347; (1, 2, 4, 1, 1, 8, 30, 8, 1, 1, 4, 2, 1, 694)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand eight hundred eighty-eight
Ordinal
120888th
Binary
11101100000111000
Octal
354070
Hexadecimal
0x1D838
Base64
Adg4
One's complement
4,294,846,407 (32-bit)
Scientific notation
1.20888 × 10⁵
As a duration
120,888 s = 1 day, 9 hours, 34 minutes, 48 seconds
In other bases
ternary (3) 20010211100
quaternary (4) 131200320
quinary (5) 12332023
senary (6) 2331400
septenary (7) 1012305
nonary (9) 203740
undecimal (11) 82909
duodecimal (12) 59b60
tridecimal (13) 43041
tetradecimal (14) 320ac
pentadecimal (15) 25c43

As an angle

120,888° = 335 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκωπηʹ
Mayan (base 20)
𝋯·𝋢·𝋤·𝋨
Chinese
一十二萬零八百八十八
Chinese (financial)
壹拾貳萬零捌佰捌拾捌
In other modern scripts
Eastern Arabic ١٢٠٨٨٨ Devanagari १२०८८८ Bengali ১২০৮৮৮ Tamil ௧௨௦௮௮௮ Thai ๑๒๐๘๘๘ Tibetan ༡༢༠༨༨༨ Khmer ១២០៨៨៨ Lao ໑໒໐໘໘໘ Burmese ၁၂၀၈၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120888, here are decompositions:

  • 11 + 120877 = 120888
  • 17 + 120871 = 120888
  • 37 + 120851 = 120888
  • 41 + 120847 = 120888
  • 59 + 120829 = 120888
  • 71 + 120817 = 120888
  • 109 + 120779 = 120888
  • 139 + 120749 = 120888

Showing the first eight; more decompositions exist.

Unicode codepoint
𝠸
Signwriting Hand-Fist Middle Thumb Circled Index Up
U+1D838
Other symbol (So)

UTF-8 encoding: F0 9D A0 B8 (4 bytes).

Hex color
#01D838
RGB(1, 216, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.56.

Address
0.1.216.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.56

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

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 120,888 and was likely granted around 1871.

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

Position in π

The digit sequence 120888 first appears in π at position 136,493 of the decimal expansion (the 136,493ordinal-suffix:rd 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°.