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12752064 = 2632132131
BaseRepresentation
bin110000101001…
…010011000000
3212222212112200
4300221103000
511231031224
61133153200
7213251013
oct60512300
925885480
1012752064
11721a8a6
12432b800
132846400
14199d37a
1511bd5c9
hexc294c0

12752064 has 126 divisors (see below), whose sum is σ = 39881556. Its totient is φ = 3893760.

The previous prime is 12752063. The next prime is 12752071. The reversal of 12752064 is 46025721.

Adding to 12752064 its reverse (46025721), we get a palindrome (58777785).

It is not an unprimeable number, because it can be changed into a prime (12752063) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97279 + ... + 97409.

Almost surely, 212752064 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 12752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19940778).

12752064 is an abundant number, since it is smaller than the sum of its proper divisors (27129492).

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

12752064 is a wasteful number, since it uses less digits than its factorization.

12752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12752064 is about 3571.0032203850. The cubic root of 12752064 is about 233.6290418637.

The spelling of 12752064 in words is "twelve million, seven hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 131 144 156 169 192 208 234 262 288 312 338 393 416 468 507 524 576 624 676 786 832 936 1014 1048 1179 1248 1352 1521 1572 1703 1872 2028 2096 2358 2496 2704 3042 3144 3406 3744 4056 4192 4716 5109 5408 6084 6288 6812 7488 8112 8384 9432 10218 10816 12168 12576 13624 15327 16224 18864 20436 22139 24336 25152 27248 30654 32448 37728 40872 44278 48672 54496 61308 66417 75456 81744 88556 97344 108992 122616 132834 163488 177112 199251 245232 265668 326976 354224 398502 490464 531336 708448 797004 980928 1062672 1416896 1594008 2125344 3188016 4250688 6376032 12752064