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56836960 = 2551093259
BaseRepresentation
bin1101100011010…
…0001101100000
310221221121122121
43120310031200
5104022240320
65350114024
71260051265
oct330641540
9127847577
1056836960
112a0a04a4
121704b914
13ba1034b
14779726c
154eca8aa
hex3634360

56836960 has 48 divisors (see below), whose sum is σ = 135550800. Its totient is φ = 22519296.

The previous prime is 56836957. The next prime is 56836963. The reversal of 56836960 is 6963865.

It is an interprime number because it is at equal distance from previous prime (56836957) and next prime (56836963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56836963) 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, 15811 + ... + 19069.

It is an arithmetic number, because the mean of its divisors is an integer number (2823975).

Almost surely, 256836960 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 56836960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67775400).

56836960 is an abundant number, since it is smaller than the sum of its proper divisors (78713840).

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

56836960 is a wasteful number, since it uses less digits than its factorization.

56836960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 56836960 is about 7539.0291152111. The cubic root of 56836960 is about 384.4828272631.

The spelling of 56836960 in words is "fifty-six million, eight hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 3259 3488 4360 6518 8720 13036 16295 17440 26072 32590 52144 65180 104288 130360 260720 355231 521440 710462 1420924 1776155 2841848 3552310 5683696 7104620 11367392 14209240 28418480 56836960