120,900
120,900 is a composite number, even.
120,900 (one hundred twenty thousand nine hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5² × 13 × 31. Its proper divisors sum to 267,964, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D844.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 9,021
- Square (n²)
- 14,616,810,000
- Cube (n³)
- 1,767,172,329,000,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 388,864
- φ(n) — Euler's totient
- 28,800
- Sum of prime factors
- 61
Primality
Prime factorization: 2 2 × 3 × 5 2 × 13 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,900 = [347; (1, 2, 2, 2, 3, 2, 8, 1, 5, 9, 1, 9, 1, 26, 1, 9, 1, 9, 5, 1, 8, 2, 3, 2, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand nine hundred
- Ordinal
- 120900th
- Binary
- 11101100001000100
- Octal
- 354104
- Hexadecimal
- 0x1D844
- Base64
- AdhE
- One's complement
- 4,294,846,395 (32-bit)
- Scientific notation
- 1.209 × 10⁵
- As a duration
- 120,900 s = 1 day, 9 hours, 35 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρκϡʹ
- Mayan (base 20)
- 𝋯·𝋢·𝋥·𝋠
- Chinese
- 一十二萬零九百
- Chinese (financial)
- 壹拾貳萬零玖佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120900, here are decompositions:
- 11 + 120889 = 120900
- 23 + 120877 = 120900
- 29 + 120871 = 120900
- 37 + 120863 = 120900
- 53 + 120847 = 120900
- 67 + 120833 = 120900
- 71 + 120829 = 120900
- 83 + 120817 = 120900
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D A1 84 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.68.
- Address
- 0.1.216.68
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.216.68
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 120,900 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 120900 first appears in π at position 101,297 of the decimal expansion (the 101,297ordinal-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°.