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1055630520 = 233257383103
BaseRepresentation
bin111110111010111…
…010010010111000
32201120100120211200
4332322322102320
54130220134040
6252425454200
735105466000
oct7672722270
92646316750
101055630520
114a196a91a
12255641360
1313a917359
14a02ad000
1562a1e630
hex3eeba4b8

1055630520 has 384 divisors, whose sum is σ = 4088448000. Its totient is φ = 236065536.

The previous prime is 1055630491. The next prime is 1055630573. The reversal of 1055630520 is 250365501.

1055630520 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 630 + 5 + 20 = 666.

It is a super-2 number, since 2×10556305202 = 2228711589510940800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10248789 + ... + 10248891.

It is an arithmetic number, because the mean of its divisors is an integer number (10647000).

Almost surely, 21055630520 is an apocalyptic number.

1055630520 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 1055630520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044224000).

1055630520 is an abundant number, since it is smaller than the sum of its proper divisors (3032817480).

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

1055630520 is a wasteful number, since it uses less digits than its factorization.

1055630520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1055630520 is about 32490.4681406717. The cubic root of 1055630520 is about 1018.2098936387.

The spelling of 1055630520 in words is "one billion, fifty-five million, six hundred thirty thousand, five hundred twenty".