Base | Representation |
---|---|
bin | 101100011111… |
… | …1110010000000 |
3 | 1121220021122010 |
4 | 1120333302000 |
5 | 21433024140 |
6 | 2152012520 |
7 | 402205155 |
oct | 130776200 |
9 | 47807563 |
10 | 23329920 |
11 | 12195129 |
12 | 7991140 |
13 | 4aaacb3 |
14 | 315422c |
15 | 20ac880 |
hex | 163fc80 |
23329920 has 128 divisors (see below), whose sum is σ = 77112000. Its totient is φ = 5992448.
The previous prime is 23329909. The next prime is 23329937. The reversal of 23329920 is 2992332.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55471 + ... + 55889.
Almost surely, 223329920 is an apocalyptic number.
23329920 is a gapful number since it is divisible by the number (20) 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 23329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38556000).
23329920 is an abundant number, since it is smaller than the sum of its proper divisors (53782080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23329920 is a wasteful number, since it uses less digits than its factorization.
23329920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 470 (or 458 counting only the distinct ones).
The product of its (nonzero) digits is 5832, while the sum is 30.
The square root of 23329920 is about 4830.1055889080. The cubic root of 23329920 is about 285.7400281568.
The spelling of 23329920 in words is "twenty-three million, three hundred twenty-nine thousand, nine hundred twenty".
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