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12947364 = 223489449
BaseRepresentation
bin110001011000…
…111110100100
3220100210110000
4301120332210
511303303424
61141301300
7215023263
oct61307644
926323400
1012947364
117343601
124404830
1328b4281
141a105da
15120b3c9
hexc58fa4

12947364 has 60 divisors (see below), whose sum is σ = 34303500. Its totient is φ = 4257792.

The previous prime is 12947351. The next prime is 12947381. The reversal of 12947364 is 46374921.

12947364 is a `hidden beast` number, since 1 + 294 + 7 + 364 = 666.

12947364 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5062500 + 7884864 = 2250^2 + 2808^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28612 + ... + 29060.

It is an arithmetic number, because the mean of its divisors is an integer number (571725).

Almost surely, 212947364 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 12947364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17151750).

12947364 is an abundant number, since it is smaller than the sum of its proper divisors (21356136).

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

12947364 is a wasteful number, since it uses less digits than its factorization.

12947364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 12947364 is about 3598.2445720101. The cubic root of 12947364 is about 234.8156937272.

It can be divided in two parts, 12 and 947364, that added together give a triangular number (947376 = T1376).

The spelling of 12947364 in words is "twelve million, nine hundred forty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 267 324 356 449 534 801 898 1068 1347 1602 1796 2403 2694 3204 4041 4806 5388 7209 8082 9612 12123 14418 16164 24246 28836 36369 39961 48492 72738 79922 119883 145476 159844 239766 359649 479532 719298 1078947 1438596 2157894 3236841 4315788 6473682 12947364