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56001660 = 2235111361107
BaseRepresentation
bin1101010110100…
…0010001111100
310220101011211120
43111220101330
5103314023120
65320150540
71250002101
oct325502174
9126334746
1056001660
112967a970
1216908450
13b7aa0a0
14761aaa8
154db3140
hex356847c

56001660 has 192 divisors, whose sum is σ = 188987904. Its totient is φ = 12211200.

The previous prime is 56001653. The next prime is 56001691. The reversal of 56001660 is 6610065.

56001660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56001660.

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 63 ways as a sum of consecutive naturals, for example, 523327 + ... + 523433.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 256001660 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 56001660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

56001660 is an abundant number, since it is smaller than the sum of its proper divisors (132986244).

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

56001660 is a wasteful number, since it uses less digits than its factorization.

56001660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56001660 is about 7483.4256861413. The cubic root of 56001660 is about 382.5900168335.

It can be divided in two parts, 5600 and 1660, that added together give a triangular number (7260 = T120).

The spelling of 56001660 in words is "fifty-six million, one thousand, six hundred sixty".