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1056871368 = 233371741117
BaseRepresentation
bin111110111111101…
…001001111001000
32201122200121222000
4332333221033020
54131024340433
6252512231000
735122154430
oct7677511710
92648617860
101056871368
114a2638113
12255b3b460
1313ac60097
14a05132c0
1562bb7113
hex3efe93c8

1056871368 has 128 divisors (see below), whose sum is σ = 3552595200. Its totient is φ = 284193792.

The previous prime is 1056871339. The next prime is 1056871369. The reversal of 1056871368 is 8631786501.

1056871368 is a `hidden beast` number, since 10 + 568 + 7 + 13 + 68 = 666.

It is a super-2 number, since 2×10568713682 = 2233954176996382848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056871369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5146 + ... + 46262.

It is an arithmetic number, because the mean of its divisors is an integer number (27754650).

Almost surely, 21056871368 is an apocalyptic number.

1056871368 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 1056871368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776297600).

1056871368 is an abundant number, since it is smaller than the sum of its proper divisors (2495723832).

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

1056871368 is a wasteful number, since it uses less digits than its factorization.

1056871368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41156 (or 41146 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1056871368 is about 32509.5581021951. The cubic root of 1056871368 is about 1018.6086913140.

The spelling of 1056871368 in words is "one billion, fifty-six million, eight hundred seventy-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 12852 25704 41117 82234 123351 164468 246702 287819 328936 370053 493404 575638 698989 740106 863457 986808 1110159 1151276 1397978 1480212 1726914 2096967 2220318 2302552 2590371 2795956 2960424 3453828 4193934 4440636 4892923 5180742 5591912 6290901 6907656 7771113 8387868 8881272 9785846 10361484 12581802 14678769 15542226 16775736 18872703 19571692 20722968 25163604 29357538 31084452 37745406 39143384 44036307 50327208 58715076 62168904 75490812 88072614 117430152 132108921 150981624 176145228 264217842 352290456 528435684 1056871368