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12547314 = 2321329432
BaseRepresentation
bin101111110111…
…010011110010
3212121110200100
4233313103302
511203003224
61124533230
7211436043
oct57672362
925543610
1012547314
11709aa8a
124251216
1327a4160
1419488ca
15117cac9
hexbf74f2

12547314 has 72 divisors (see below), whose sum is σ = 31007340. Its totient is φ = 3640896.

The previous prime is 12547307. The next prime is 12547319. The reversal of 12547314 is 41374521.

It can be written as a sum of positive squares in 2 ways, for example, as 12131289 + 416025 = 3483^2 + 645^2 .

It is a super-2 number, since 2×125473142 = 314870177229192, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (12547319) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 291777 + ... + 291819.

Almost surely, 212547314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12547314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15503670).

12547314 is an abundant number, since it is smaller than the sum of its proper divisors (18460026).

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

12547314 is a wasteful number, since it uses less digits than its factorization.

12547314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

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

The square root of 12547314 is about 3542.2187961785. The cubic root of 12547314 is about 232.3718891862.

The spelling of 12547314 in words is "twelve million, five hundred forty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 29 39 43 58 78 86 87 117 129 174 234 258 261 377 387 522 559 754 774 1118 1131 1247 1677 1849 2262 2494 3354 3393 3698 3741 5031 5547 6786 7482 10062 11094 11223 16211 16641 22446 24037 32422 33282 48074 48633 53621 72111 97266 107242 144222 145899 160863 216333 291798 321726 432666 482589 697073 965178 1394146 2091219 4182438 6273657 12547314