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11256680 = 235347811
BaseRepresentation
bin101010111100…
…001101101000
3210011220021002
4222330031220
510340203210
61041134132
7164452211
oct52741550
923156232
1011256680
116399346
12392a348
132441876
1416d0408
15ec54a5
hexabc368

11256680 has 32 divisors (see below), whose sum is σ = 25431840. Its totient is φ = 4484160.

The previous prime is 11256671. The next prime is 11256697. The reversal of 11256680 is 8665211.

It is a happy number.

11256680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13475 + ... + 14285.

It is an arithmetic number, because the mean of its divisors is an integer number (794745).

Almost surely, 211256680 is an apocalyptic number.

11256680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11256680 is an abundant number, since it is smaller than the sum of its proper divisors (14175160).

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

11256680 is a wasteful number, since it uses less digits than its factorization.

11256680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 11256680 is about 3355.0976140792. The cubic root of 11256680 is about 224.1145778621.

The spelling of 11256680 in words is "eleven million, two hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 347 694 811 1388 1622 1735 2776 3244 3470 4055 6488 6940 8110 13880 16220 32440 281417 562834 1125668 1407085 2251336 2814170 5628340 11256680