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23960664 = 23337132353
BaseRepresentation
bin101101101100…
…1110001011000
31200002022212000
41123121301120
522113220124
62213321000
7410443110
oct133316130
950068760
1023960664
1112586002
128036160
134c6c110
14327a040
1521846c9
hex16d9c58

23960664 has 256 divisors, whose sum is σ = 87091200. Its totient is φ = 5930496.

The previous prime is 23960663. The next prime is 23960693. The reversal of 23960664 is 46606932.

It is a super-2 number, since 2×239606642 = 1148226838641792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23960663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452062 + ... + 452114.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 223960664 is an apocalyptic number.

23960664 is a gapful number since it is divisible by the number (24) 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 23960664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

23960664 is an abundant number, since it is smaller than the sum of its proper divisors (63130536).

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

23960664 is a wasteful number, since it uses less digits than its factorization.

23960664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 23960664 is about 4894.9631254995. The cubic root of 23960664 is about 288.2922380834.

The spelling of 23960664 in words is "twenty-three million, nine hundred sixty thousand, six hundred sixty-four".