Search a number
-
+
12537972 = 2232595903
BaseRepresentation
bin101111110101…
…000001110100
3212120222212100
4233311001310
511202203342
61124422100
7211366566
oct57650164
925528770
1012537972
117093a67
124247930
13279cb25
141945336
151179e4c
hexbf5074

12537972 has 36 divisors (see below), whose sum is σ = 32235840. Its totient is φ = 4107792.

The previous prime is 12537971. The next prime is 12537977. The reversal of 12537972 is 27973521.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (12537971) 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 11 ways as a sum of consecutive naturals, for example, 828 + ... + 5075.

It is an arithmetic number, because the mean of its divisors is an integer number (895440).

Almost surely, 212537972 is an apocalyptic number.

12537972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12537972 is an abundant number, since it is smaller than the sum of its proper divisors (19697868).

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

12537972 is a wasteful number, since it uses less digits than its factorization.

12537972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972 (or 5967 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 12537972 is about 3540.8998856223. The cubic root of 12537972 is about 232.3142046712.

The spelling of 12537972 in words is "twelve million, five hundred thirty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 5903 11806 17709 23612 35418 53127 70836 106254 212508 348277 696554 1044831 1393108 2089662 3134493 4179324 6268986 12537972