Search a number
-
+
23001728 = 27712531
BaseRepresentation
bin101011110111…
…1101010000000
31121021121102212
41113233222000
521342023403
62141001252
7366340301
oct127575200
947247385
1023001728
1111a905a2
127853228
1349c47b9
1430aa7a8
1520454d8
hex15efa80

23001728 has 32 divisors (see below), whose sum is σ = 46487520. Its totient is φ = 11334400.

The previous prime is 23001709. The next prime is 23001733. The reversal of 23001728 is 82710032.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7823 + ... + 10353.

It is an arithmetic number, because the mean of its divisors is an integer number (1452735).

Almost surely, 223001728 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 23001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23243760).

23001728 is an abundant number, since it is smaller than the sum of its proper divisors (23485792).

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

23001728 is an equidigital number, since it uses as much as digits as its factorization.

23001728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 23001728 is about 4796.0116763828. The cubic root of 23001728 is about 284.3938198389.

The spelling of 23001728 in words is "twenty-three million, one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 2531 4544 5062 9088 10124 20248 40496 80992 161984 179701 323968 359402 718804 1437608 2875216 5750432 11500864 23001728