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64365040 = 2452334981
BaseRepresentation
bin1111010110001…
…0000111110000
311111010002020101
43311202013300
5112434140130
610215322144
71411044115
oct365420760
9144102211
1064365040
1133372453
1219680354
1310447a2c
14879690c
1559b61ca
hex3d621f0

64365040 has 40 divisors (see below), whose sum is σ = 156159648. Its totient is φ = 24625920.

The previous prime is 64365001. The next prime is 64365053. The reversal of 64365040 is 4056346.

64365040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 15651 + ... + 19330.

Almost surely, 264365040 is an apocalyptic number.

It is an amenable number.

64365040 is an abundant number, since it is smaller than the sum of its proper divisors (91794608).

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

64365040 is a wasteful number, since it uses less digits than its factorization.

64365040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35017 (or 35011 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 64365040 is about 8022.7825596859. The cubic root of 64365040 is about 400.7590586637.

It can be divided in two parts, 6436 and 5040, that added together give a triangular number (11476 = T151).

The spelling of 64365040 in words is "sixty-four million, three hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 34981 69962 139924 174905 279848 349810 559696 699620 804563 1399240 1609126 2798480 3218252 4022815 6436504 8045630 12873008 16091260 32182520 64365040