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12626964 = 2232789563
BaseRepresentation
bin110000001010…
…110000010100
3212202111221100
4300022300110
511213030324
61130350100
7212220210
oct60126024
925674840
1012626964
117144909
12428b330
13280149c
141969940
1511964c9
hexc0ac14

12626964 has 72 divisors (see below), whose sum is σ = 36953280. Its totient is φ = 3560832.

The previous prime is 12626923. The next prime is 12626987. The reversal of 12626964 is 46962621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22147 + ... + 22709.

It is an arithmetic number, because the mean of its divisors is an integer number (513240).

Almost surely, 212626964 is an apocalyptic number.

12626964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12626964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476640).

12626964 is an abundant number, since it is smaller than the sum of its proper divisors (24326316).

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

12626964 is a wasteful number, since it uses less digits than its factorization.

12626964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 664 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12626964 is about 3553.4439632559. The cubic root of 12626964 is about 232.8625491756.

The spelling of 12626964 in words is "twelve million, six hundred twenty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 178 252 267 356 534 563 623 801 1068 1126 1246 1602 1689 1869 2252 2492 3204 3378 3738 3941 5067 5607 6756 7476 7882 10134 11214 11823 15764 20268 22428 23646 35469 47292 50107 70938 100214 141876 150321 200428 300642 350749 450963 601284 701498 901926 1052247 1402996 1803852 2104494 3156741 4208988 6313482 12626964