| Base | Representation |
|---|---|
| bin | 1110000011111… |
| … | …10001000000000 |
| 3 | 22012221211202020 |
| 4 | 13001332020000 |
| 5 | 220144111440 |
| 6 | 15412121440 |
| 7 | 2631422211 |
| oct | 701761000 |
| 9 | 265854666 |
| 10 | 117957120 |
| 11 | 60646a26 |
| 12 | 33606280 |
| 13 | 1b590118 |
| 14 | 11947408 |
| 15 | a5503d0 |
| hex | 707e200 |
117957120 has 80 divisors (see below), whose sum is σ = 377118720. Its totient is φ = 31453184.
The previous prime is 117957097. The next prime is 117957131. The reversal of 117957120 is 21759711.
117957120 is a nontrivial binomial coefficient, being equal to C(15360, 2).
It is a tau number, because it is divible by the number of its divisors (80).
It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 15359.
It is an arithmetic number, because the mean of its divisors is an integer number (4713984).
Almost surely, 2117957120 is an apocalyptic number.
117957120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
117957120 is the 15359-th triangular number and also the 7680-th hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 117957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).
117957120 is an abundant number, since it is smaller than the sum of its proper divisors (259161600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117957120 is an equidigital number, since it uses as much as digits as its factorization.
117957120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15385 (or 15369 counting only the distinct ones).
The product of its (nonzero) digits is 4410, while the sum is 33.
The square root of 117957120 is about 10860.8065998801. The cubic root of 117957120 is about 490.4273933143.
It can be divided in two parts, 11795 and 7120, that added together give a triangular number (18915 = T194).
The spelling of 117957120 in words is "one hundred seventeen million, nine hundred fifty-seven thousand, one hundred twenty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.078 sec. • engine limits •