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12978864 = 2432193467
BaseRepresentation
bin110001100000…
…101010110000
3220102101122200
4301200222300
511310310424
61142103200
7215214153
oct61405260
926371580
1012978864
117365238
12441ab00
1328c5702
141a1bc9a
1512158c9
hexc60ab0

12978864 has 60 divisors (see below), whose sum is σ = 36589176. Its totient is φ = 4294656.

The previous prime is 12978859. The next prime is 12978883. The reversal of 12978864 is 46887921.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27559 + ... + 28025.

Almost surely, 212978864 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 12978864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18294588).

12978864 is an abundant number, since it is smaller than the sum of its proper divisors (23610312).

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

12978864 is a wasteful number, since it uses less digits than its factorization.

12978864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 665 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 12978864 is about 3602.6190473043. The cubic root of 12978864 is about 235.0059693670.

The spelling of 12978864 in words is "twelve million, nine hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 467 579 772 934 1158 1401 1544 1737 1868 2316 2802 3088 3474 3736 4203 4632 5604 6948 7472 8406 9264 11208 13896 16812 22416 27792 33624 67248 90131 180262 270393 360524 540786 721048 811179 1081572 1442096 1622358 2163144 3244716 4326288 6489432 12978864