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56035680 = 2535116741
BaseRepresentation
bin1101010111000…
…0100101100000
310220102220111120
43111300211200
5103321120210
65321012240
71250203221
oct325604540
9126386446
1056035680
11296a3488
1216924080
13b7bc70c
147629248
154dbd270
hex3570960

56035680 has 48 divisors (see below), whose sum is σ = 176513904. Its totient is φ = 14942720.

The previous prime is 56035673. The next prime is 56035691. The reversal of 56035680 is 8653065.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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, 57891 + ... + 58850.

It is an arithmetic number, because the mean of its divisors is an integer number (3677373).

Almost surely, 256035680 is an apocalyptic number.

It is an amenable number.

56035680 is an abundant number, since it is smaller than the sum of its proper divisors (120478224).

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

56035680 is a wasteful number, since it uses less digits than its factorization.

56035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116759 (or 116751 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56035680 is about 7485.6983642143. The cubic root of 56035680 is about 382.6674733331.

The spelling of 56035680 in words is "fifty-six million, thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 116741 233482 350223 466964 583705 700446 933928 1167410 1400892 1751115 1867856 2334820 2801784 3502230 3735712 4669640 5603568 7004460 9339280 11207136 14008920 18678560 28017840 56035680