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56710100 = 2252567101
BaseRepresentation
bin1101100001010…
…1001111010100
310221201011122002
43120111033110
5104004210400
65343254432
71256012366
oct330251724
9127634562
1056710100
112a014157
1216baa418
13b997695
147762d36
154ea2ed5
hex36153d4

56710100 has 18 divisors (see below), whose sum is σ = 123061134. Its totient is φ = 22684000.

The previous prime is 56710097. The next prime is 56710133. The reversal of 56710100 is 101765.

56710100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5071504 + 51638596 = 2252^2 + 7186^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283451 + ... + 283650.

Almost surely, 256710100 is an apocalyptic number.

56710100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56710100 is an abundant number, since it is smaller than the sum of its proper divisors (66351034).

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

56710100 is a wasteful number, since it uses less digits than its factorization.

56710100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567115 (or 567108 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 56710100 is about 7530.6108649963. The cubic root of 56710100 is about 384.1965591641.

Adding to 56710100 its reverse (101765), we get a palindrome (56811865).

The spelling of 56710100 in words is "fifty-six million, seven hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 567101 1134202 2268404 2835505 5671010 11342020 14177525 28355050 56710100