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23507968 = 210112087
BaseRepresentation
bin101100110101…
…1010000000000
31122020022212111
41121223100000
522004223333
62155505104
7403546231
oct131532000
948208774
1023507968
11122a6980
127a58194
134b41053
14319d088
1520e54cd
hex166b400

23507968 has 44 divisors (see below), whose sum is σ = 51289632. Its totient is φ = 10680320.

The previous prime is 23507963. The next prime is 23507969. The reversal of 23507968 is 86970532.

It is a tau number, because it is divible by the number of its divisors (44).

It is a self number, because there is not a number n which added to its sum of digits gives 23507968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23507963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10221 + ... + 12307.

Almost surely, 223507968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23507968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25644816).

23507968 is an abundant number, since it is smaller than the sum of its proper divisors (27781664).

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

23507968 is a wasteful number, since it uses less digits than its factorization.

23507968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 23507968 is about 4848.5016242134. The cubic root of 23507968 is about 286.4650851322.

The spelling of 23507968 in words is "twenty-three million, five hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2087 2816 4174 5632 8348 11264 16696 22957 33392 45914 66784 91828 133568 183656 267136 367312 534272 734624 1068544 1469248 2137088 2938496 5876992 11753984 23507968