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56105640 = 23325155849
BaseRepresentation
bin1101011000000…
…1101010101000
310220120110110200
43112001222220
5103330340030
65322312200
71250614203
oct326015250
9126513420
1056105640
1129740aa8
1216958660
13b815506
14764693a
154dd3d60
hex3581aa8

56105640 has 48 divisors (see below), whose sum is σ = 182344500. Its totient is φ = 14961408.

The previous prime is 56105611. The next prime is 56105663. The reversal of 56105640 is 4650165.

It is a happy number.

56105640 is a `hidden beast` number, since 5 + 6 + 10 + 5 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55980324 + 125316 = 7482^2 + 354^2 .

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 11 ways as a sum of consecutive naturals, for example, 77565 + ... + 78284.

Almost surely, 256105640 is an apocalyptic number.

It is an amenable number.

56105640 is an abundant number, since it is smaller than the sum of its proper divisors (126238860).

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

56105640 is a wasteful number, since it uses less digits than its factorization.

56105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155866 (or 155859 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56105640 is about 7490.3698173054. The cubic root of 56105640 is about 382.8266593069.

The spelling of 56105640 in words is "fifty-six million, one hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 155849 311698 467547 623396 779245 935094 1246792 1402641 1558490 1870188 2337735 2805282 3116980 3740376 4675470 5610564 6233960 7013205 9350940 11221128 14026410 18701880 28052820 56105640