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12624417 = 341319631
BaseRepresentation
bin110000001010…
…001000100001
3212202101110000
4300022020201
511212440132
61130330213
7212206611
oct60121041
925671400
1012624417
117142a03
124289969
132800290
141968a41
15119587c
hexc0a221

12624417 has 40 divisors (see below), whose sum is σ = 21412160. Its totient is φ = 7348320.

The previous prime is 12624389. The next prime is 12624419. The reversal of 12624417 is 71442621.

It is not a de Polignac number, because 12624417 - 210 = 12623393 is a prime.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12624419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19692 + ... + 20322.

It is an arithmetic number, because the mean of its divisors is an integer number (535304).

Almost surely, 212624417 is an apocalyptic number.

It is an amenable number.

12624417 is a deficient number, since it is larger than the sum of its proper divisors (8787743).

12624417 is a wasteful number, since it uses less digits than its factorization.

12624417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 666 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12624417 is about 3553.0855604671. The cubic root of 12624417 is about 232.8468911284.

It can be divided in two parts, 12624 and 417, that added together give a triangular number (13041 = T161).

The spelling of 12624417 in words is "twelve million, six hundred twenty-four thousand, four hundred seventeen".

Divisors: 1 3 9 13 19 27 39 57 81 117 171 247 351 513 631 741 1053 1539 1893 2223 5679 6669 8203 11989 17037 20007 24609 35967 51111 73827 107901 155857 221481 323703 467571 664443 971109 1402713 4208139 12624417