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120,700

120,700 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.).

120,700 (one hundred twenty thousand seven hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 17 × 71. Its proper divisors sum to 160,532, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D77C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number 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
7,021
Square (n²)
14,568,490,000
Cube (n³)
1,758,416,743,000,000
Divisor count
36
σ(n) — sum of divisors
281,232
φ(n) — Euler's totient
44,800
Sum of prime factors
102

Primality

Prime factorization: 2 2 × 5 2 × 17 × 71

Nearest primes: 120,691 (−9) · 120,709 (+9)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 10 · 17 · 20 · 25 · 34 · 50 · 68 · 71 · 85 · 100 · 142 · 170 · 284 · 340 · 355 · 425 · 710 · 850 · 1207 · 1420 · 1700 · 1775 · 2414 · 3550 · 4828 · 6035 · 7100 · 12070 · 24140 · 30175 · 60350 (half) · 120700
Aliquot sum (sum of proper divisors): 160,532
Factor pairs (a × b = 120,700)
1 × 120700
2 × 60350
4 × 30175
5 × 24140
10 × 12070
17 × 7100
20 × 6035
25 × 4828
34 × 3550
50 × 2414
68 × 1775
71 × 1700
85 × 1420
100 × 1207
142 × 850
170 × 710
284 × 425
340 × 355
First multiples
120,700 · 241,400 (double) · 362,100 · 482,800 · 603,500 · 724,200 · 844,900 · 965,600 · 1,086,300 · 1,207,000

Sums & aliquot sequence

As consecutive integers: 24,138 + 24,139 + 24,140 + 24,141 + 24,142 15,084 + 15,085 + … + 15,091 7,092 + 7,093 + … + 7,108 4,816 + 4,817 + … + 4,840
Aliquot sequence: 120,700 160,532 125,068 93,808 124,928 128,962 75,914 37,960 55,280 73,432 67,328 67,576 59,144 51,766 39,962 28,078 14,762 — unresolved within range

Continued fraction of √n

√120,700 = [347; (2, 2, 1, 1, 2, 3, 11, 2, 13, 6, 1, 6, 1, 18, 2, 2, 1, 76, 2, 27, 3, 2, 1, 2, …)]

Representations

In words
one hundred twenty thousand seven hundred
Ordinal
120700th
Binary
11101011101111100
Octal
353574
Hexadecimal
0x1D77C
Base64
Add8
One's complement
4,294,846,595 (32-bit)
Scientific notation
1.207 × 10⁵
As a duration
120,700 s = 1 day, 9 hours, 31 minutes, 40 seconds
In other bases
ternary (3) 20010120101
quaternary (4) 131131330
quinary (5) 12330300
senary (6) 2330444
septenary (7) 1011616
nonary (9) 203511
undecimal (11) 82758
duodecimal (12) 59a24
tridecimal (13) 42c28
tetradecimal (14) 31db6
pentadecimal (15) 25b6a

As an angle

120,700° = 335 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρκψʹ
Mayan (base 20)
𝋯·𝋡·𝋯·𝋠
Chinese
一十二萬零七百
Chinese (financial)
壹拾貳萬零柒佰
In other modern scripts
Eastern Arabic ١٢٠٧٠٠ Devanagari १२०७०० Bengali ১২০৭০০ Tamil ௧௨௦௭௦௦ Thai ๑๒๐๗๐๐ Tibetan ༡༢༠༧༠༠ Khmer ១២០៧០០ Lao ໑໒໐໗໐໐ Burmese ၁၂၀၇၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120700, here are decompositions:

  • 11 + 120689 = 120700
  • 23 + 120677 = 120700
  • 29 + 120671 = 120700
  • 53 + 120647 = 120700
  • 59 + 120641 = 120700
  • 113 + 120587 = 120700
  • 131 + 120569 = 120700
  • 137 + 120563 = 120700

Showing the first eight; more decompositions exist.

Unicode codepoint
𝝼
Mathematical Sans-Serif Bold Small Nu
U+1D77C
Lowercase letter (Ll)

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

Hex color
#01D77C
RGB(1, 215, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.124.

Address
0.1.215.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.124

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 120,700 and was likely granted around 1871.

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

Related reading