Base | Representation |
---|---|
bin | 101100001010… |
… | …1111011010000 |
3 | 1121120120110111 |
4 | 1120111323100 |
5 | 21412032410 |
6 | 2144211104 |
7 | 400562302 |
oct | 130257320 |
9 | 47516414 |
10 | 23158480 |
11 | 12088344 |
12 | 7909a94 |
13 | 4a4ac57 |
14 | 310b972 |
15 | 2076b8a |
hex | 1615ed0 |
23158480 has 40 divisors (see below), whose sum is σ = 54262152. Its totient is φ = 9191424.
The previous prime is 23158469. The next prime is 23158489. The reversal of 23158480 is 8485132.
It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 23155344 = 56^2 + 4812^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23158489) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9904 + ... + 12016.
Almost surely, 223158480 is an apocalyptic number.
23158480 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 23158480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27131076).
23158480 is an abundant number, since it is smaller than the sum of its proper divisors (31103672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23158480 is a wasteful number, since it uses less digits than its factorization.
23158480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2263 (or 2257 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 31.
The square root of 23158480 is about 4812.3258410045. The cubic root of 23158480 is about 285.0383861295.
The spelling of 23158480 in words is "twenty-three million, one hundred fifty-eight thousand, four hundred eighty".
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