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1064730240 = 27325726407
BaseRepresentation
bin111111011101100…
…111111010000000
32202012110220022100
4333131213322000
54140032331430
6253352510400
735246025540
oct7735477200
92665426270
101064730240
114a7015652
122586ab400
1313c7821c2
14a159b320
156371a960
hex3f767e80

1064730240 has 192 divisors, whose sum is σ = 4202040960. Its totient is φ = 243357696.

The previous prime is 1064730239. The next prime is 1064730253. The reversal of 1064730240 is 420374601.

1064730240 is a `hidden beast` number, since 10 + 647 + 3 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10647302402 = 2267300967940915200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27117 + ... + 53523.

It is an arithmetic number, because the mean of its divisors is an integer number (21885630).

Almost surely, 21064730240 is an apocalyptic number.

1064730240 is a gapful number since it is divisible by the number (10) 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 1064730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101020480).

1064730240 is an abundant number, since it is smaller than the sum of its proper divisors (3137310720).

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

1064730240 is a wasteful number, since it uses less digits than its factorization.

1064730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26439 (or 26424 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1064730240 is about 32630.2044124765. The cubic root of 1064730240 is about 1021.1272428226.

The spelling of 1064730240 in words is "one billion, sixty-four million, seven hundred thirty thousand, two hundred forty".