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12704904 = 2333131449
BaseRepresentation
bin110000011101…
…110010001000
3212220110212000
4300131302020
511223024104
61132151000
7212663352
oct60356210
925813760
1012704904
117198423
124308460
13282aac4
14198a0d2
1511ae639
hexc1dc88

12704904 has 64 divisors (see below), whose sum is σ = 35640000. Its totient is φ = 4193280.

The previous prime is 12704903. The next prime is 12704917. The reversal of 12704904 is 40940721.

It is a happy number.

It is a super-2 number, since 2×127049042 = 322829171298432, 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 a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12704903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28072 + ... + 28520.

It is an arithmetic number, because the mean of its divisors is an integer number (556875).

Almost surely, 212704904 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 12704904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17820000).

12704904 is an abundant number, since it is smaller than the sum of its proper divisors (22935096).

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

12704904 is a wasteful number, since it uses less digits than its factorization.

12704904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12704904 is about 3564.3939176247. The cubic root of 12704904 is about 233.3406818547.

The spelling of 12704904 in words is "twelve million, seven hundred four thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 393 449 524 786 898 1048 1179 1347 1572 1796 2358 2694 3144 3537 3592 4041 4716 5388 7074 8082 9432 10776 12123 14148 16164 24246 28296 32328 48492 58819 96984 117638 176457 235276 352914 470552 529371 705828 1058742 1411656 1588113 2117484 3176226 4234968 6352452 12704904