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120,160

120,160 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.).

120,160 (one hundred twenty thousand one hundred sixty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 751. Its proper divisors sum to 164,096, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D560.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
61,021
Square (n²)
14,438,425,600
Cube (n³)
1,734,921,220,096,000
Divisor count
24
σ(n) — sum of divisors
284,256
φ(n) — Euler's totient
48,000
Sum of prime factors
766

Primality

Prime factorization: 2 5 × 5 × 751

Nearest primes: 120,157 (−3) · 120,163 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 751 · 1502 · 3004 · 3755 · 6008 · 7510 · 12016 · 15020 · 24032 · 30040 · 60080 (half) · 120160
Aliquot sum (sum of proper divisors): 164,096
Factor pairs (a × b = 120,160)
1 × 120160
2 × 60080
4 × 30040
5 × 24032
8 × 15020
10 × 12016
16 × 7510
20 × 6008
32 × 3755
40 × 3004
80 × 1502
160 × 751
First multiples
120,160 · 240,320 (double) · 360,480 · 480,640 · 600,800 · 720,960 · 841,120 · 961,280 · 1,081,440 · 1,201,600

Sums & aliquot sequence

As consecutive integers: 24,030 + 24,031 + 24,032 + 24,033 + 24,034 1,846 + 1,847 + … + 1,909 216 + 217 + … + 535
Aliquot sequence: 120,160 164,096 163,966 114,674 81,934 42,914 23,086 19,250 25,678 13,994 7,000 11,720 14,740 19,532 16,588 18,692 14,026 — unresolved within range

Continued fraction of √n

√120,160 = [346; (1, 1, 1, 3, 1, 1, 1, 692)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand one hundred sixty
Ordinal
120160th
Binary
11101010101100000
Octal
352540
Hexadecimal
0x1D560
Base64
AdVg
One's complement
4,294,847,135 (32-bit)
Scientific notation
1.2016 × 10⁵
As a duration
120,160 s = 1 day, 9 hours, 22 minutes, 40 seconds
In other bases
ternary (3) 20002211101
quaternary (4) 131111200
quinary (5) 12321120
senary (6) 2324144
septenary (7) 1010215
nonary (9) 202741
undecimal (11) 82307
duodecimal (12) 59654
tridecimal (13) 42901
tetradecimal (14) 31b0c
pentadecimal (15) 2590a

As an angle

120,160° = 333 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκρξʹ
Mayan (base 20)
𝋯·𝋠·𝋨·𝋠
Chinese
一十二萬零一百六十
Chinese (financial)
壹拾貳萬零壹佰陸拾
In other modern scripts
Eastern Arabic ١٢٠١٦٠ Devanagari १२०१६० Bengali ১২০১৬০ Tamil ௧௨௦௧௬௦ Thai ๑๒๐๑๖๐ Tibetan ༡༢༠༡༦༠ Khmer ១២០១៦០ Lao ໑໒໐໑໖໐ Burmese ၁၂၀၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120160, here are decompositions:

  • 3 + 120157 = 120160
  • 83 + 120077 = 120160
  • 113 + 120047 = 120160
  • 149 + 120011 = 120160
  • 167 + 119993 = 120160
  • 179 + 119981 = 120160
  • 197 + 119963 = 120160
  • 239 + 119921 = 120160

Showing the first eight; more decompositions exist.

Unicode codepoint
𝕠
Mathematical Double-Struck Small O
U+1D560
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 95 A0 (4 bytes).

Hex color
#01D560
RGB(1, 213, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.96.

Address
0.1.213.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.96

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 120,160 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 120160 first appears in π at position 563,800 of the decimal expansion (the 563,800ordinal-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