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64056960 = 2733511337
BaseRepresentation
bin1111010001011…
…0111010000000
311110112102122000
43310112322000
5112344310320
610204544000
71405321662
oct364267200
9143472560
1064056960
1133181a40
1219552000
131036a736
148716532
155954c90
hex3d16e80

64056960 has 256 divisors, whose sum is σ = 248227200. Its totient is φ = 15482880.

The previous prime is 64056947. The next prime is 64056977. The reversal of 64056960 is 6965046.

It is a happy number.

64056960 is a `hidden beast` number, since 640 + 5 + 6 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189912 + ... + 190248.

Almost surely, 264056960 is an apocalyptic number.

64056960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124113600).

64056960 is an abundant number, since it is smaller than the sum of its proper divisors (184170240).

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

64056960 is a wasteful number, since it uses less digits than its factorization.

64056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 64056960 is about 8003.5592082523. The cubic root of 64056960 is about 400.1186314796.

It can be divided in two parts, 640 and 56960, that added together give a square (57600 = 2402).

The spelling of 64056960 in words is "sixty-four million, fifty-six thousand, nine hundred sixty".