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120,714

120,714 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.).

120,714 (one hundred twenty thousand seven hundred fourteen) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 11 × 31 × 59. Its proper divisors sum to 155,766, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D78A.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
417,021
Square (n²)
14,571,869,796
Cube (n³)
1,759,028,690,554,344
Divisor count
32
σ(n) — sum of divisors
276,480
φ(n) — Euler's totient
34,800
Sum of prime factors
106

Primality

Prime factorization: 2 × 3 × 11 × 31 × 59

Nearest primes: 120,713 (−1) · 120,721 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 11 · 22 · 31 · 33 · 59 · 62 · 66 · 93 · 118 · 177 · 186 · 341 · 354 · 649 · 682 · 1023 · 1298 · 1829 · 1947 · 2046 · 3658 · 3894 · 5487 · 10974 · 20119 · 40238 · 60357 (half) · 120714
Aliquot sum (sum of proper divisors): 155,766
Factor pairs (a × b = 120,714)
1 × 120714
2 × 60357
3 × 40238
6 × 20119
11 × 10974
22 × 5487
31 × 3894
33 × 3658
59 × 2046
62 × 1947
66 × 1829
93 × 1298
118 × 1023
177 × 682
186 × 649
341 × 354
First multiples
120,714 · 241,428 (double) · 362,142 · 482,856 · 603,570 · 724,284 · 844,998 · 965,712 · 1,086,426 · 1,207,140

Sums & aliquot sequence

As consecutive integers: 40,237 + 40,238 + 40,239 30,177 + 30,178 + 30,179 + 30,180 10,969 + 10,970 + … + 10,979 10,054 + 10,055 + … + 10,065
Aliquot sequence: 120,714 155,766 179,898 179,910 288,090 558,630 931,770 2,178,630 3,631,770 6,053,670 12,401,370 22,124,070 37,802,970 68,325,030 109,320,282 131,078,214 152,924,622 — unresolved within range

Continued fraction of √n

√120,714 = [347; (2, 3, 1, 1, 1, 1, 2, 1, 2, 1, 1, 27, 4, 1, 1, 2, 10, 3, 2, 1, 9, 1, 114, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand seven hundred fourteen
Ordinal
120714th
Binary
11101011110001010
Octal
353612
Hexadecimal
0x1D78A
Base64
AdeK
One's complement
4,294,846,581 (32-bit)
Scientific notation
1.20714 × 10⁵
As a duration
120,714 s = 1 day, 9 hours, 31 minutes, 54 seconds
In other bases
ternary (3) 20010120220
quaternary (4) 131132022
quinary (5) 12330324
senary (6) 2330510
septenary (7) 1011636
nonary (9) 203526
undecimal (11) 82770
duodecimal (12) 59a36
tridecimal (13) 42c39
tetradecimal (14) 31dc6
pentadecimal (15) 25b79

As an angle

120,714° = 335 × 360° + 114°
114° ≈ 1.99 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκψιδʹ
Mayan (base 20)
𝋯·𝋡·𝋯·𝋮
Chinese
一十二萬零七百一十四
Chinese (financial)
壹拾貳萬零柒佰壹拾肆
In other modern scripts
Eastern Arabic ١٢٠٧١٤ Devanagari १२०७१४ Bengali ১২০৭১৪ Tamil ௧௨௦௭௧௪ Thai ๑๒๐๗๑๔ Tibetan ༡༢༠༧༡༤ Khmer ១២០៧១៤ Lao ໑໒໐໗໑໔ Burmese ၁၂၀၇၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120714, here are decompositions:

  • 5 + 120709 = 120714
  • 23 + 120691 = 120714
  • 37 + 120677 = 120714
  • 43 + 120671 = 120714
  • 53 + 120661 = 120714
  • 67 + 120647 = 120714
  • 73 + 120641 = 120714
  • 107 + 120607 = 120714

Showing the first eight; more decompositions exist.

Unicode codepoint
𝞊
Mathematical Sans-Serif Bold Epsilon Symbol
U+1D78A
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 9E 8A (4 bytes).

Hex color
#01D78A
RGB(1, 215, 138)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.138.

Address
0.1.215.138
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.138

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 120,714 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 120714 first appears in π at position 328,843 of the decimal expansion (the 328,843ordinal-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°.