Base | Representation |
---|---|
bin | 101100111100… |
… | …1101011000000 |
3 | 1122100022220100 |
4 | 1121321223000 |
5 | 22013121130 |
6 | 2201042400 |
7 | 404213400 |
oct | 131715300 |
9 | 48308810 |
10 | 23567040 |
11 | 123372a2 |
12 | 7a86400 |
13 | 4b61bc3 |
14 | 31b6800 |
15 | 2107c60 |
hex | 1679ac0 |
23567040 has 252 divisors, whose sum is σ = 94859856. Its totient is φ = 5354496.
The previous prime is 23567021. The next prime is 23567041. The reversal of 23567040 is 4076532.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (252).
It is a junction number, because it is equal to n+sod(n) for n = 23566995 and 23567013.
It is not an unprimeable number, because it can be changed into a prime (23567041) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141037 + ... + 141203.
It is an arithmetic number, because the mean of its divisors is an integer number (376428).
Almost surely, 223567040 is an apocalyptic number.
23567040 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 23567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47429928).
23567040 is an abundant number, since it is smaller than the sum of its proper divisors (71292816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23567040 is a wasteful number, since it uses less digits than its factorization.
23567040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 204 (or 184 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 27.
The square root of 23567040 is about 4854.5895810048. The cubic root of 23567040 is about 286.7048323682.
The spelling of 23567040 in words is "twenty-three million, five hundred sixty-seven thousand, forty".
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