120,972
120,972 is a composite number, even.
120,972 (one hundred twenty thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 17 × 593. Its proper divisors sum to 178,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D88C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 279,021
- Square (n²)
- 14,634,224,784
- Cube (n³)
- 1,770,331,440,570,048
- Divisor count
- 24
- σ(n) — sum of divisors
- 299,376
- φ(n) — Euler's totient
- 37,888
- Sum of prime factors
- 617
Primality
Prime factorization: 2 2 × 3 × 17 × 593
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,972 = [347; (1, 4, 3, 1, 2, 5, 2, 1, 1, 2, 2, 4, 86, 1, 2, 1, 1, 1, 7, 1, 2, 1, 11, 20, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand nine hundred seventy-two
- Ordinal
- 120972nd
- Binary
- 11101100010001100
- Octal
- 354214
- Hexadecimal
- 0x1D88C
- Base64
- AdiM
- One's complement
- 4,294,846,323 (32-bit)
- Scientific notation
- 1.20972 × 10⁵
- As a duration
- 120,972 s = 1 day, 9 hours, 36 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρκϡοβʹ
- Mayan (base 20)
- 𝋯·𝋢·𝋨·𝋬
- Chinese
- 一十二萬零九百七十二
- Chinese (financial)
- 壹拾貳萬零玖佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120972, here are decompositions:
- 29 + 120943 = 120972
- 31 + 120941 = 120972
- 43 + 120929 = 120972
- 53 + 120919 = 120972
- 73 + 120899 = 120972
- 83 + 120889 = 120972
- 101 + 120871 = 120972
- 109 + 120863 = 120972
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D A2 8C (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.140.
- Address
- 0.1.216.140
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.216.140
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 120,972 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.