| Base | Representation |
|---|---|
| bin | 1101101100110… |
| … | …11000100000000 |
| 3 | 22000021001012201 |
| 4 | 12312123010000 |
| 5 | 213410224140 |
| 6 | 15223202544 |
| 7 | 2563613440 |
| oct | 666330400 |
| 9 | 260231181 |
| 10 | 114929920 |
| 11 | 59969606 |
| 12 | 325a6454 |
| 13 | 1aa70291 |
| 14 | 1139a120 |
| 15 | a15349a |
| hex | 6d9b100 |
114929920 has 144 divisors (see below), whose sum is σ = 320237568. Its totient is φ = 38707200.
The previous prime is 114929909. The next prime is 114929921. The reversal of 114929920 is 29929411.
It is a super-2 number, since 2×1149299202 = 26417773022412800, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 114929920.
It is not an unprimeable number, because it can be changed into a prime (114929921) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904897 + ... + 905023.
It is an arithmetic number, because the mean of its divisors is an integer number (2223872).
Almost surely, 2114929920 is an apocalyptic number.
114929920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 114929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160118784).
114929920 is an abundant number, since it is smaller than the sum of its proper divisors (205307648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114929920 is a wasteful number, since it uses less digits than its factorization.
114929920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 256 (or 242 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 37.
The square root of 114929920 is about 10720.5372999678. The cubic root of 114929920 is about 486.1956118416.
It can be divided in two parts, 11492 and 9920, that added together give a palindrome (21412).
The spelling of 114929920 in words is "one hundred fourteen million, nine hundred twenty-nine thousand, nine hundred twenty".
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