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23131680 = 25351113337
BaseRepresentation
bin101100000111…
…1011000100000
31121112012200220
41120033120200
521410203210
62143443040
7400421205
oct130173040
947465626
1023131680
111206a1a0
1278b6480
134a3b9b0
143101cac
15206dc70
hex160f620

23131680 has 192 divisors, whose sum is σ = 85857408. Its totient is φ = 5160960.

The previous prime is 23131651. The next prime is 23131681. The reversal of 23131680 is 8613132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23131680.

It is not an unprimeable number, because it can be changed into a prime (23131681) 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, 68472 + ... + 68808.

It is an arithmetic number, because the mean of its divisors is an integer number (447174).

Almost surely, 223131680 is an apocalyptic number.

23131680 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 23131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42928704).

23131680 is an abundant number, since it is smaller than the sum of its proper divisors (62725728).

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

23131680 is a wasteful number, since it uses less digits than its factorization.

23131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 23131680 is about 4809.5405185943. The cubic root of 23131680 is about 284.9283907501.

It can be divided in two parts, 2313 and 1680, that added together give a palindrome (3993).

The spelling of 23131680 in words is "twenty-three million, one hundred thirty-one thousand, six hundred eighty".