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56648130 = 235711137179
BaseRepresentation
bin1101100000011…
…0000111000010
310221121000121220
43120012013002
5104000220010
65342055510
71255333620
oct330060702
9127530556
1056648130
1129a81640
1216b7a596
13b975406
147748510
154e8e970
hex36061c2

56648130 has 128 divisors (see below), whose sum is σ = 171694080. Its totient is φ = 11619840.

The previous prime is 56648099. The next prime is 56648167. The reversal of 56648130 is 3184665.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 56648091 and 56648100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316381 + ... + 316559.

It is an arithmetic number, because the mean of its divisors is an integer number (1341360).

Almost surely, 256648130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56648130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85847040).

56648130 is an abundant number, since it is smaller than the sum of its proper divisors (115045950).

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

56648130 is a wasteful number, since it uses less digits than its factorization.

56648130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 56648130 is about 7526.4952002908. The cubic root of 56648130 is about 384.0565644756.

The spelling of 56648130 in words is "fifty-six million, six hundred forty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 137 154 165 179 210 231 274 330 358 385 411 462 537 685 770 822 895 959 1074 1155 1253 1370 1507 1790 1918 1969 2055 2310 2506 2685 2877 3014 3759 3938 4110 4521 4795 5370 5754 5907 6265 7518 7535 9042 9590 9845 10549 11814 12530 13783 14385 15070 18795 19690 21098 22605 24523 27566 28770 29535 31647 37590 41349 45210 49046 52745 59070 63294 68915 73569 82698 105490 122615 137830 147138 158235 171661 206745 245230 269753 316470 343322 367845 413490 514983 539506 735690 809259 858305 1029966 1348765 1618518 1716610 1888271 2574915 2697530 3776542 4046295 5149830 5664813 8092590 9441355 11329626 18882710 28324065 56648130