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23901696 = 293371319
BaseRepresentation
bin101101100101…
…1011000000000
31122222022222000
41123023120000
522104323241
62212144000
7410106150
oct133133000
948868860
1023901696
1112545775
128008000
134c4b320
143262760
152171eb6
hex16cb600

23901696 has 320 divisors, whose sum is σ = 91660800. Its totient is φ = 5971968.

The previous prime is 23901671. The next prime is 23901697. The reversal of 23901696 is 69610932.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 23901696 = 243 + 2883 = 2163 + 2403.

It is a self number, because there is not a number n which added to its sum of digits gives 23901696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23901697) 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, 1257975 + ... + 1257993.

It is an arithmetic number, because the mean of its divisors is an integer number (286440).

Almost surely, 223901696 is an apocalyptic number.

23901696 is a gapful number since it is divisible by the number (26) 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 23901696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45830400).

23901696 is an abundant number, since it is smaller than the sum of its proper divisors (67759104).

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

23901696 is a wasteful number, since it uses less digits than its factorization.

23901696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 23901696 is about 4888.9360805803. The cubic root of 23901696 is about 288.0555448423.

The spelling of 23901696 in words is "twenty-three million, nine hundred one thousand, six hundred ninety-six".