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12379664 = 2411312269
BaseRepresentation
bin101111001110…
…011000010000
3212021221201002
4233032120100
511132122124
61121201132
7210140213
oct57163020
925257632
1012379664
116a96030
1241901a8
132745a5b
14190377a
1511480ae
hexbce610

12379664 has 40 divisors (see below), whose sum is σ = 27022080. Its totient is φ = 5443200.

The previous prime is 12379639. The next prime is 12379669. The reversal of 12379664 is 46697321.

It is not an unprimeable number, because it can be changed into a prime (12379669) by changing a digit.

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, 4322 + ... + 6590.

It is an arithmetic number, because the mean of its divisors is an integer number (675552).

Almost surely, 212379664 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 12379664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13511040).

12379664 is an abundant number, since it is smaller than the sum of its proper divisors (14642416).

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

12379664 is a wasteful number, since it uses less digits than its factorization.

12379664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2313 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 12379664 is about 3518.4746695123. The cubic root of 12379664 is about 231.3323053510.

It can be divided in two parts, 1237 and 9664, that added together give a palindrome (10901).

The spelling of 12379664 in words is "twelve million, three hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2269 2728 4538 5456 9076 18152 24959 36304 49918 70339 99836 140678 199672 281356 399344 562712 773729 1125424 1547458 3094916 6189832 12379664