Base | Representation |
---|---|
bin | 101100001101… |
… | …1001011000000 |
3 | 1121121122221100 |
4 | 1120123023000 |
5 | 21413224333 |
6 | 2144454400 |
7 | 401012040 |
oct | 130331300 |
9 | 47548840 |
10 | 23179968 |
11 | 120a24a9 |
12 | 791a400 |
13 | 4a57976 |
14 | 3115720 |
15 | 207d213 |
hex | 161b2c0 |
23179968 has 84 divisors (see below), whose sum is σ = 75946000. Its totient is φ = 6621696.
The previous prime is 23179931. The next prime is 23179997. The reversal of 23179968 is 86997132.
It is a tau number, because it is divible by the number of its divisors (84).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1158 + ... + 6906.
Almost surely, 223179968 is an apocalyptic number.
23179968 is a gapful number since it is divisible by the number (28) 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 23179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37973000).
23179968 is an abundant number, since it is smaller than the sum of its proper divisors (52766032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23179968 is a wasteful number, since it uses less digits than its factorization.
23179968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5774 (or 5761 counting only the distinct ones).
The product of its digits is 163296, while the sum is 45.
The square root of 23179968 is about 4814.5579236312. The cubic root of 23179968 is about 285.1265181579.
The spelling of 23179968 in words is "twenty-three million, one hundred seventy-nine thousand, nine hundred sixty-eight".
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