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1056525120 = 263657647
BaseRepresentation
bin111110111110010…
…100101101000000
32201122001001000000
4332332110231000
54130432300440
6252501000000
735116213110
oct7676245500
92648031000
101056525120
114a2420a62
122559b3000
1313ab6b5c1
14a0463040
1562b49730
hex3ef94b40

1056525120 has 392 divisors, whose sum is σ = 4317577344. Its totient is φ = 241118208.

The previous prime is 1056525097. The next prime is 1056525133. The reversal of 1056525120 is 215256501.

1056525120 is a `hidden beast` number, since 1 + 0 + 5 + 652 + 5 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×10565251202 = 2232490658382028800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1632637 + ... + 1633283.

Almost surely, 21056525120 is an apocalyptic number.

1056525120 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 1056525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158788672).

1056525120 is an abundant number, since it is smaller than the sum of its proper divisors (3261052224).

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

1056525120 is an frugal number, since it uses more digits than its factorization.

1056525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1056525120 is about 32504.2323398046. The cubic root of 1056525120 is about 1018.4974416528.

The spelling of 1056525120 in words is "one billion, fifty-six million, five hundred twenty-five thousand, one hundred twenty".