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12523264 = 28135371
BaseRepresentation
bin101111110001…
…011100000000
3212120020200121
4233301130000
511201221024
61124230024
7211305655
oct57613400
925506617
1012523264
117083a06
12423b314
132796220
14193dc2c
1511758e4
hexbf1700

12523264 has 72 divisors (see below), whose sum is σ = 27814752. Its totient is φ = 5591040.

The previous prime is 12523253. The next prime is 12523283. The reversal of 12523264 is 46232521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176349 + ... + 176419.

It is an arithmetic number, because the mean of its divisors is an integer number (386316).

Almost surely, 212523264 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 12523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13907376).

12523264 is an abundant number, since it is smaller than the sum of its proper divisors (15291488).

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

12523264 is an equidigital number, since it uses as much as digits as its factorization.

12523264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 12523264 is about 3538.8224030036. The cubic root of 12523264 is about 232.2233283509.

Adding to 12523264 its reverse (46232521), we get a palindrome (58755785).

The spelling of 12523264 in words is "twelve million, five hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 71 104 106 128 142 208 212 256 284 416 424 568 689 832 848 923 1136 1378 1664 1696 1846 2272 2756 3328 3392 3692 3763 4544 5512 6784 7384 7526 9088 11024 13568 14768 15052 18176 22048 29536 30104 44096 48919 59072 60208 88192 97838 118144 120416 176384 195676 236288 240832 391352 481664 782704 963328 1565408 3130816 6261632 12523264