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65856040 = 23510116301
BaseRepresentation
bin1111101100111…
…0001000101000
311120220211111121
43323032020220
5113324343130
610311305024
71426524055
oct373161050
9146824447
1065856040
11341a0688
121a07b174
131084a593
148a6402c
155bacd7a
hex3ece228

65856040 has 32 divisors (see below), whose sum is σ = 149652360. Its totient is φ = 26080000.

The previous prime is 65856031. The next prime is 65856047. The reversal of 65856040 is 4065856.

65856040 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 4 ways, for example, as 65836996 + 19044 = 8114^2 + 138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 65855987 and 65856005.

It is not an unprimeable number, because it can be changed into a prime (65856047) 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 7 ways as a sum of consecutive naturals, for example, 4111 + ... + 12190.

Almost surely, 265856040 is an apocalyptic number.

It is an amenable number.

65856040 is an abundant number, since it is smaller than the sum of its proper divisors (83796320).

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

65856040 is a wasteful number, since it uses less digits than its factorization.

65856040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16413 (or 16409 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 65856040 is about 8115.1734423856. The cubic root of 65856040 is about 403.8299614462.

The spelling of 65856040 in words is "sixty-five million, eight hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 16301 32602 65204 81505 130408 163010 326020 652040 1646401 3292802 6585604 8232005 13171208 16464010 32928020 65856040