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12657424 = 2413231151
BaseRepresentation
bin110000010010…
…001100010000
3212211001201111
4300102030100
511220014144
61131143104
7212405053
oct60221420
925731644
1012657424
11716578a
1242a4a94
132812300
141976a9a
1511a0534
hexc12310

12657424 has 60 divisors (see below), whose sum is σ = 27593472. Its totient is φ = 5616000.

The previous prime is 12657419. The next prime is 12657443. The reversal of 12657424 is 42475621.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 83749 + ... + 83899.

Almost surely, 212657424 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 12657424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13796736).

12657424 is an abundant number, since it is smaller than the sum of its proper divisors (14936048).

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

12657424 is a wasteful number, since it uses less digits than its factorization.

12657424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 12657424 is about 3557.7273644842. The cubic root of 12657424 is about 233.0496434343.

The spelling of 12657424 in words is "twelve million, six hundred fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 151 169 208 248 302 338 403 496 604 676 806 1208 1352 1612 1963 2416 2704 3224 3926 4681 5239 6448 7852 9362 10478 15704 18724 20956 25519 31408 37448 41912 51038 60853 74896 83824 102076 121706 204152 243412 408304 486824 791089 973648 1582178 3164356 6328712 12657424