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56340756 = 223212712323
BaseRepresentation
bin1101011011101…
…1000100010100
310221000101222200
43112323010110
5103410401011
65331324500
71252613523
oct326730424
9127011880
1056340756
112989170a
1216a50730
13b898534
1476a84ba
154e2d856
hex35bb114

56340756 has 36 divisors (see below), whose sum is σ = 143549952. Its totient is φ = 18630864.

The previous prime is 56340709. The next prime is 56340763. The reversal of 56340756 is 65704365.

56340756 is a `hidden beast` number, since 563 + 40 + 7 + 56 = 666.

56340756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56340756.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1590 + ... + 10733.

Almost surely, 256340756 is an apocalyptic number.

It is an amenable number.

56340756 is an abundant number, since it is smaller than the sum of its proper divisors (87209196).

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

56340756 is a wasteful number, since it uses less digits than its factorization.

56340756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12460 (or 12455 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 56340756 is about 7506.0479614775. The cubic root of 56340756 is about 383.3606711862.

The spelling of 56340756 in words is "fifty-six million, three hundred forty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 4572 12323 24646 36969 49292 73938 110907 147876 221814 443628 1565021 3130042 4695063 6260084 9390126 14085189 18780252 28170378 56340756