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64139760 = 2432589083
BaseRepresentation
bin1111010010101…
…1000111110000
311110200122012200
43310223013300
5112404433020
610210423200
71406115246
oct364530760
9143618180
1064139760
1133229173
1219591b00
1310399329
148738796
15596e590
hex3d2b1f0

64139760 has 60 divisors (see below), whose sum is σ = 215405112. Its totient is φ = 17103744.

The previous prime is 64139753. The next prime is 64139783. The reversal of 64139760 is 6793146.

64139760 is a `hidden beast` number, since 641 + 3 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×641397602 = 8227817625715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43822 + ... + 45261.

Almost surely, 264139760 is an apocalyptic number.

64139760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64139760 is an abundant number, since it is smaller than the sum of its proper divisors (151265352).

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

64139760 is a wasteful number, since it uses less digits than its factorization.

64139760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89102 (or 89093 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 64139760 is about 8008.7302364357. The cubic root of 64139760 is about 400.2909549784.

It can be divided in two parts, 641 and 39760, that added together give a square (40401 = 2012).

The spelling of 64139760 in words is "sixty-four million, one hundred thirty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 89083 178166 267249 356332 445415 534498 712664 801747 890830 1068996 1336245 1425328 1603494 1781660 2137992 2672490 3206988 3563320 4008735 4275984 5344980 6413976 7126640 8017470 10689960 12827952 16034940 21379920 32069880 64139760