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64525680 = 2433529873
BaseRepresentation
bin1111011000100…
…1010101110000
311111102020121000
43312021111300
5113004310210
610223002000
71412313342
oct366112560
9144366530
1064525680
113347210a
1219739300
13104a2b9b
1487d9292
1559e8ac0
hex3d89570

64525680 has 80 divisors (see below), whose sum is σ = 222262560. Its totient is φ = 17206272.

The previous prime is 64525679. The next prime is 64525687. The reversal of 64525680 is 8652546.

64525680 is a `hidden beast` number, since 645 + 2 + 5 + 6 + 8 + 0 = 666.

64525680 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 (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64525687) 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 15 ways as a sum of consecutive naturals, for example, 12777 + ... + 17096.

It is an arithmetic number, because the mean of its divisors is an integer number (2778282).

Almost surely, 264525680 is an apocalyptic number.

64525680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64525680 is an abundant number, since it is smaller than the sum of its proper divisors (157736880).

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

64525680 is a wasteful number, since it uses less digits than its factorization.

64525680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29895 (or 29883 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 64525680 is about 8032.7878099698. The cubic root of 64525680 is about 401.0921817997.

The spelling of 64525680 in words is "sixty-four million, five hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 29873 59746 89619 119492 149365 179238 238984 268857 298730 358476 448095 477968 537714 597460 716952 806571 896190 1075428 1194920 1344285 1433904 1613142 1792380 2150856 2389840 2688570 3226284 3584760 4032855 4301712 5377140 6452568 7169520 8065710 10754280 12905136 16131420 21508560 32262840 64525680