162,720
162,720 is a composite number, even.
162,720 (one hundred sixty-two thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 5 × 113. Its proper divisors sum to 397,476, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x27BA0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 27,261
- Recamán's sequence
- a(473,847) = 162,720
- Square (n²)
- 26,477,798,400
- Cube (n³)
- 4,308,467,355,648,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 560,196
- φ(n) — Euler's totient
- 43,008
- Sum of prime factors
- 134
Primality
Prime factorization: 2 5 × 3 2 × 5 × 113
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√162,720 = [403; (2, 1, 1, 2, 5, 4, 1, 1, 2, 2, 1, 21, 1, 2, 2, 1, 1, 4, 5, 2, 1, 1, 2, 806)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-two thousand seven hundred twenty
- Ordinal
- 162720th
- Binary
- 100111101110100000
- Octal
- 475640
- Hexadecimal
- 0x27BA0
- Base64
- Anug
- One's complement
- 4,294,804,575 (32-bit)
- Scientific notation
- 1.6272 × 10⁵
- As a duration
- 162,720 s = 1 day, 21 hours, 12 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρξβψκʹ
- Chinese
- 一十六萬二千七百二十
- Chinese (financial)
- 壹拾陸萬貳仟柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 162720, here are decompositions:
- 7 + 162713 = 162720
- 11 + 162709 = 162720
- 17 + 162703 = 162720
- 29 + 162691 = 162720
- 37 + 162683 = 162720
- 43 + 162677 = 162720
- 71 + 162649 = 162720
- 79 + 162641 = 162720
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A7 AE A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.123.160.
- Address
- 0.2.123.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.123.160
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 162,720 and was likely granted around 1874.
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°.