Base | Representation |
---|---|
bin | 101100001100… |
… | …0000001000000 |
3 | 1121121000012112 |
4 | 1120120001000 |
5 | 21412321130 |
6 | 2144314452 |
7 | 400626251 |
oct | 130300100 |
9 | 47530175 |
10 | 23167040 |
11 | 12093816 |
12 | 7912a28 |
13 | 4a51b10 |
14 | 3110b28 |
15 | 2079495 |
hex | 1618040 |
23167040 has 56 divisors (see below), whose sum is σ = 59420760. Its totient is φ = 8552448.
The previous prime is 23167033. The next prime is 23167051. The reversal of 23167040 is 4076132.
It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 23116864 = 224^2 + 4808^2 .
It is a junction number, because it is equal to n+sod(n) for n = 23166997 and 23167015.
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, 1376 + ... + 6944.
It is an arithmetic number, because the mean of its divisors is an integer number (1061085).
Almost surely, 223167040 is an apocalyptic number.
23167040 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 23167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29710380).
23167040 is an abundant number, since it is smaller than the sum of its proper divisors (36253720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23167040 is a wasteful number, since it uses less digits than its factorization.
23167040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5599 (or 5589 counting only the distinct ones).
The product of its (nonzero) digits is 1008, while the sum is 23.
The square root of 23167040 is about 4813.2151416699. The cubic root of 23167040 is about 285.0735011000.
The spelling of 23167040 in words is "twenty-three million, one hundred sixty-seven thousand, forty".
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