number.wiki
Live analysis

120,372

120,372 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.).

120,372 (one hundred twenty thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 1,433. Its proper divisors sum to 200,844, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D634.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
273,021
Square (n²)
14,489,418,384
Cube (n³)
1,744,120,269,718,848
Divisor count
24
σ(n) — sum of divisors
321,216
φ(n) — Euler's totient
34,368
Sum of prime factors
1,447

Primality

Prime factorization: 2 2 × 3 × 7 × 1433

Nearest primes: 120,371 (−1) · 120,383 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 1433 · 2866 · 4299 · 5732 · 8598 · 10031 · 17196 · 20062 · 30093 · 40124 · 60186 (half) · 120372
Aliquot sum (sum of proper divisors): 200,844
Factor pairs (a × b = 120,372)
1 × 120372
2 × 60186
3 × 40124
4 × 30093
6 × 20062
7 × 17196
12 × 10031
14 × 8598
21 × 5732
28 × 4299
42 × 2866
84 × 1433
First multiples
120,372 · 240,744 (double) · 361,116 · 481,488 · 601,860 · 722,232 · 842,604 · 962,976 · 1,083,348 · 1,203,720

Sums & aliquot sequence

As consecutive integers: 40,123 + 40,124 + 40,125 17,193 + 17,194 + … + 17,199 15,043 + 15,044 + … + 15,050 5,722 + 5,723 + … + 5,742
Aliquot sequence: 120,372 200,844 380,100 883,708 933,604 933,660 2,829,540 6,226,332 10,675,308 18,000,276 30,209,004 62,258,196 138,245,100 318,892,308 558,986,988 952,081,172 1,045,405,396 — unresolved within range

Continued fraction of √n

√120,372 = [346; (1, 17, 1, 3, 11, 1, 1, 32, 1, 1, 11, 3, 1, 17, 1, 692)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand three hundred seventy-two
Ordinal
120372nd
Binary
11101011000110100
Octal
353064
Hexadecimal
0x1D634
Base64
AdY0
One's complement
4,294,846,923 (32-bit)
Scientific notation
1.20372 × 10⁵
As a duration
120,372 s = 1 day, 9 hours, 26 minutes, 12 seconds
In other bases
ternary (3) 20010010020
quaternary (4) 131120310
quinary (5) 12322442
senary (6) 2325140
septenary (7) 1010640
nonary (9) 203106
undecimal (11) 8248a
duodecimal (12) 597b0
tridecimal (13) 42a35
tetradecimal (14) 31c20
pentadecimal (15) 259ec

As an angle

120,372° = 334 × 360° + 132°
132° ≈ 2.304 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκτοβʹ
Mayan (base 20)
𝋯·𝋠·𝋲·𝋬
Chinese
一十二萬零三百七十二
Chinese (financial)
壹拾貳萬零參佰柒拾貳
In other modern scripts
Eastern Arabic ١٢٠٣٧٢ Devanagari १२०३७२ Bengali ১২০৩৭২ Tamil ௧௨௦௩௭௨ Thai ๑๒๐๓๗๒ Tibetan ༡༢༠༣༧༢ Khmer ១២០៣៧២ Lao ໑໒໐໓໗໒ Burmese ၁၂၀၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120372, here are decompositions:

  • 23 + 120349 = 120372
  • 41 + 120331 = 120372
  • 53 + 120319 = 120372
  • 73 + 120299 = 120372
  • 79 + 120293 = 120372
  • 89 + 120283 = 120372
  • 139 + 120233 = 120372
  • 149 + 120223 = 120372

Showing the first eight; more decompositions exist.

Unicode codepoint
𝘴
Mathematical Sans-Serif Italic Small S
U+1D634
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 98 B4 (4 bytes).

Hex color
#01D634
RGB(1, 214, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.52.

Address
0.1.214.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.52

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 120,372 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 120372 first appears in π at position 198,387 of the decimal expansion (the 198,387ordinal-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°.