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56653140 = 22352361673
BaseRepresentation
bin1101100000011…
…1010101010100
310221121021111110
43120013111110
5104000400030
65342135020
71255354335
oct330072524
9127537443
1056653140
1129a85385
1216b81470
13b97778b
14774a28c
154e911b0
hex3607554

56653140 has 96 divisors (see below), whose sum is σ = 168489216. Its totient is φ = 14192640.

The previous prime is 56653139. The next prime is 56653147. The reversal of 56653140 is 4135665.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56653098 and 56653107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56653147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83844 + ... + 84516.

It is an arithmetic number, because the mean of its divisors is an integer number (1755096).

Almost surely, 256653140 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 56653140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84244608).

56653140 is an abundant number, since it is smaller than the sum of its proper divisors (111836076).

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

56653140 is a wasteful number, since it uses less digits than its factorization.

56653140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 56653140 is about 7526.8280171663. The cubic root of 56653140 is about 384.0678862184.

The spelling of 56653140 in words is "fifty-six million, six hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 61 69 92 115 122 138 183 230 244 276 305 345 366 460 610 673 690 732 915 1220 1346 1380 1403 1830 2019 2692 2806 3365 3660 4038 4209 5612 6730 7015 8076 8418 10095 13460 14030 15479 16836 20190 21045 28060 30958 40380 41053 42090 46437 61916 77395 82106 84180 92874 123159 154790 164212 185748 205265 232185 246318 309580 410530 464370 492636 615795 821060 928740 944219 1231590 1888438 2463180 2832657 3776876 4721095 5665314 9442190 11330628 14163285 18884380 28326570 56653140