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64520064 = 273472127
BaseRepresentation
bin1111011000011…
…1111110000000
311111101221220000
43312013332000
5113004120224
610222520000
71412261100
oct366077600
9144357800
1064520064
1133468974
1219736000
13104a046b
1487d7200
1559e70c9
hex3d87f80

64520064 has 240 divisors, whose sum is σ = 225118080. Its totient is φ = 18289152.

The previous prime is 64520051. The next prime is 64520069. The reversal of 64520064 is 46002546.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64520069) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507969 + ... + 508095.

It is an arithmetic number, because the mean of its divisors is an integer number (937992).

Almost surely, 264520064 is an apocalyptic number.

64520064 is a gapful number since it is divisible by the number (64) 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 64520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112559040).

64520064 is an abundant number, since it is smaller than the sum of its proper divisors (160598016).

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

64520064 is a wasteful number, since it uses less digits than its factorization.

64520064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 64520064 is about 8032.4382350567. The cubic root of 64520064 is about 401.0805450940.

The spelling of 64520064 in words is "sixty-four million, five hundred twenty thousand, sixty-four".