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56654136 = 23327112929
BaseRepresentation
bin1101100000011…
…1100100111000
310221121022212100
43120013210320
5104000413021
65342143400
71255360260
oct330074470
9127538770
1056654136
1129a86100
1216b81b60
13b978076
14774a7a0
154e91626
hex3607938

56654136 has 144 divisors (see below), whose sum is σ = 192956400. Its totient is φ = 14699520.

The previous prime is 56654131. The next prime is 56654137. The reversal of 56654136 is 63145665.

It is a super-2 number, since 2×566541362 = 6419382251812992, which contains 22 as substring.

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 56654136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56654131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60520 + ... + 61448.

It is an arithmetic number, because the mean of its divisors is an integer number (1339975).

Almost surely, 256654136 is an apocalyptic number.

56654136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56654136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96478200).

56654136 is an abundant number, since it is smaller than the sum of its proper divisors (136302264).

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

56654136 is a wasteful number, since it uses less digits than its factorization.

56654136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 952 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 56654136 is about 7526.8941802047. The cubic root of 56654136 is about 384.0701369284.

It can be divided in two parts, 5665 and 4136, that added together give a square (9801 = 992).

The spelling of 56654136 in words is "fifty-six million, six hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 929 968 1089 1386 1452 1694 1848 1858 2178 2541 2772 2787 2904 3388 3716 4356 5082 5544 5574 6503 6776 7432 7623 8361 8712 10164 10219 11148 13006 15246 16722 19509 20328 20438 22296 26012 30492 30657 33444 39018 40876 52024 58527 60984 61314 66888 71533 78036 81752 91971 112409 117054 122628 143066 156072 183942 214599 224818 234108 245256 286132 337227 367884 429198 449636 468216 572264 643797 674454 735768 786863 858396 899272 1011681 1287594 1348908 1573726 1716792 2023362 2360589 2575188 2697816 3147452 4046724 4721178 5150376 6294904 7081767 8093448 9442356 14163534 18884712 28327068 56654136