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1056227328 = 21432131929
BaseRepresentation
bin111110111101001…
…100000000000000
32201121110220111200
4332331030000000
54130343233303
6252450341200
735113532652
oct7675140000
92647426450
101056227328
114a2238252
1225588a800
1313aa95bb0
14a03c66d2
1562adb3a3
hex3ef4c000

1056227328 has 360 divisors, whose sum is σ = 3578156400. Its totient is φ = 297271296.

The previous prime is 1056227297. The next prime is 1056227339. The reversal of 1056227328 is 8237226501.

1056227328 is a `hidden beast` number, since 1 + 0 + 5 + 622 + 7 + 3 + 28 = 666.

It is a super-2 number, since 2×10562273282 = 2231232336828039168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1056227292 and 1056227301.

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, 36421618 + ... + 36421646.

Almost surely, 21056227328 is an apocalyptic number.

1056227328 is a gapful number since it is divisible by the number (18) 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 1056227328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789078200).

1056227328 is an abundant number, since it is smaller than the sum of its proper divisors (2521929072).

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

1056227328 is a wasteful number, since it uses less digits than its factorization.

1056227328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1056227328 is about 32499.6511981283. The cubic root of 1056227328 is about 1018.4017414860.

The spelling of 1056227328 in words is "one billion, fifty-six million, two hundred twenty-seven thousand, three hundred twenty-eight".