Search a number
-
+
56010560 = 2651011733
BaseRepresentation
bin1101010110101…
…0011101000000
310220101122001012
43111222131000
5103314314220
65320300052
71250040044
oct325523500
9126348035
1056010560
1129686621
1216911628
13b7b1158
147620024
154db5ac5
hex356a740

56010560 has 56 divisors (see below), whose sum is σ = 134773416. Its totient is φ = 22169600.

The previous prime is 56010557. The next prime is 56010587. The reversal of 56010560 is 6501065.

It can be written as a sum of positive squares in 4 ways, for example, as 17172736 + 38837824 = 4144^2 + 6232^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31454 + ... + 33186.

Almost surely, 256010560 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 56010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67386708).

56010560 is an abundant number, since it is smaller than the sum of its proper divisors (78762856).

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

56010560 is a wasteful number, since it uses less digits than its factorization.

56010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 56010560 is about 7484.0203099671. The cubic root of 56010560 is about 382.6102833208.

The spelling of 56010560 in words is "fifty-six million, ten thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 320 404 505 808 1010 1616 1733 2020 3232 3466 4040 6464 6932 8080 8665 13864 16160 17330 27728 32320 34660 55456 69320 110912 138640 175033 277280 350066 554560 700132 875165 1400264 1750330 2800528 3500660 5601056 7001320 11202112 14002640 28005280 56010560