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56940180 = 22351132331
BaseRepresentation
bin1101100100110…
…1011010010100
310222010212020120
43121031122110
5104034041210
65352231540
71260661233
oct331153224
9128125216
1056940180
112a161000
121709b5b0
13ba4831b
1477c2b1a
154eeb270
hex364d694

56940180 has 192 divisors, whose sum is σ = 188891136. Its totient is φ = 12777600.

The previous prime is 56940161. The next prime is 56940181. The reversal of 56940180 is 8104965.

56940180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56940181) by changing a digit.

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, 1836765 + ... + 1836795.

It is an arithmetic number, because the mean of its divisors is an integer number (983808).

Almost surely, 256940180 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 56940180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94445568).

56940180 is an abundant number, since it is smaller than the sum of its proper divisors (131950956).

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

56940180 is a wasteful number, since it uses less digits than its factorization.

56940180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 56940180 is about 7545.8717190262. The cubic root of 56940180 is about 384.7154359813.

The spelling of 56940180 in words is "fifty-six million, nine hundred forty thousand, one hundred eighty".