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1056461130 = 23451304273
BaseRepresentation
bin111110111110000…
…101000101001010
32201121220210020000
4332332011011022
54130423224010
6252455343430
735115525414
oct7676050512
92647823200
101056461130
114a238797a
12255981b76
1313ab4843a
14a04479b4
1562b357c0
hex3ef8514a

1056461130 has 40 divisors (see below), whose sum is σ = 2840708772. Its totient is φ = 281722752.

The previous prime is 1056461113. The next prime is 1056461143. The reversal of 1056461130 is 311646501.

1056461130 is a `hidden beast` number, since 1 + 0 + 5 + 646 + 1 + 13 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 901981089 + 154480041 = 30033^2 + 12429^2 .

It is a super-2 number, since 2×10564611302 = 2232220238401753800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1056461094 and 1056461103.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 651327 + ... + 652946.

Almost surely, 21056461130 is an apocalyptic number.

1056461130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1056461130 is an abundant number, since it is smaller than the sum of its proper divisors (1784247642).

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

1056461130 is a wasteful number, since it uses less digits than its factorization.

1056461130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304292 (or 1304283 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1056461130 is about 32503.2479915469. The cubic root of 1056461130 is about 1018.4768789717.

The spelling of 1056461130 in words is "one billion, fifty-six million, four hundred sixty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1304273 2608546 3912819 6521365 7825638 11738457 13042730 19564095 23476914 35215371 39128190 58692285 70430742 105646113 117384570 176076855 211292226 352153710 528230565 1056461130