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23136960 = 2635711313
BaseRepresentation
bin101100001000…
…0101011000000
31121112110221110
41120100223000
521410340320
62143523320
7400442460
oct130205300
947473843
1023136960
1112073160
1278b9540
134a41212
143103ba0
1520705e0
hex1610ac0

23136960 has 224 divisors, whose sum is σ = 91878912. Its totient is φ = 4792320.

The previous prime is 23136941. The next prime is 23136961. The reversal of 23136960 is 6963132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (23136961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73764 + ... + 74076.

Almost surely, 223136960 is an apocalyptic number.

23136960 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 23136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45939456).

23136960 is an abundant number, since it is smaller than the sum of its proper divisors (68741952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23136960 is a wasteful number, since it uses less digits than its factorization.

23136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 23136960 is about 4810.0893962587. The cubic root of 23136960 is about 284.9500681992.

Subtracting from 23136960 its reverse (6963132), we obtain a triangular number (16173828 = T5687).

The spelling of 23136960 in words is "twenty-three million, one hundred thirty-six thousand, nine hundred sixty".