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1056053610 = 232511733929
BaseRepresentation
bin111110111100100…
…001100101101010
32201121011002012200
4332330201211222
54130322203420
6252442521030
735112210333
oct7674414552
92647132180
101056053610
114a2129787
12255806176
1313aa34ac1
14a037d28a
1562aa4b90
hex3ef2196a

1056053610 has 24 divisors (see below), whose sum is σ = 2745739620. Its totient is φ = 281614272.

The previous prime is 1056053599. The next prime is 1056053623. The reversal of 1056053610 is 163506501.

It is a happy number.

1056053610 is a `hidden beast` number, since 10 + 5 + 605 + 36 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 889411329 + 166642281 = 29823^2 + 12909^2 .

It is a super-2 number, since 2×10560536102 = 2230498454388064200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5866875 + ... + 5867054.

Almost surely, 21056053610 is an apocalyptic number.

1056053610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1056053610 is an abundant number, since it is smaller than the sum of its proper divisors (1689686010).

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

1056053610 is a wasteful number, since it uses less digits than its factorization.

1056053610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11733942 (or 11733939 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1056053610 is about 32496.9784749290. The cubic root of 1056053610 is about 1018.3459061530.

The spelling of 1056053610 in words is "one billion, fifty-six million, fifty-three thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11733929 23467858 35201787 58669645 70403574 105605361 117339290 176008935 211210722 352017870 528026805 1056053610