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12887264 = 251322383
BaseRepresentation
bin110001001010…
…010011100000
3220020202000002
4301022103200
511244343024
61140115132
7214353125
oct61122340
926222002
1012887264
117302435
124395aa8
132892b00
1419d674c
1511e86ae
hexc4a4e0

12887264 has 36 divisors (see below), whose sum is σ = 27485136. Its totient is φ = 5945472.

The previous prime is 12887261. The next prime is 12887267. The reversal of 12887264 is 46278821.

It is an interprime number because it is at equal distance from previous prime (12887261) and next prime (12887267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12887261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4217 + ... + 6599.

It is an arithmetic number, because the mean of its divisors is an integer number (763476).

Almost surely, 212887264 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 12887264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13742568).

12887264 is an abundant number, since it is smaller than the sum of its proper divisors (14597872).

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

12887264 is a wasteful number, since it uses less digits than its factorization.

12887264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2398 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 12887264 is about 3589.8835635714. The cubic root of 12887264 is about 234.4518020064.

The spelling of 12887264 in words is "twelve million, eight hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2383 2704 4766 5408 9532 19064 30979 38128 61958 76256 123916 247832 402727 495664 805454 991328 1610908 3221816 6443632 12887264