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23085984 = 253240479
BaseRepresentation
bin101100000010…
…0001110100000
31121102220000110
41120010032200
521402222414
62142451320
7400141035
oct130041640
947386013
1023085984
1112038929
127893b40
134a23c5c
1430cd38c
152060459
hex16043a0

23085984 has 24 divisors (see below), whose sum is σ = 60600960. Its totient is φ = 7695296.

The previous prime is 23085967. The next prime is 23085991. The reversal of 23085984 is 48958032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120144 + ... + 120335.

It is an arithmetic number, because the mean of its divisors is an integer number (2525040).

Almost surely, 223085984 is an apocalyptic number.

23085984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23085984 is an abundant number, since it is smaller than the sum of its proper divisors (37514976).

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

23085984 is a wasteful number, since it uses less digits than its factorization.

23085984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240492 (or 240484 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 23085984 is about 4804.7876123716. The cubic root of 23085984 is about 284.7406443236.

The spelling of 23085984 in words is "twenty-three million, eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 240479 480958 721437 961916 1442874 1923832 2885748 3847664 5771496 7695328 11542992 23085984