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1056717540 = 2232521127823
BaseRepresentation
bin111110111111000…
…011101011100100
32201122101210221200
4332333003223210
54131004430130
6252505042500
735120644104
oct7677035344
92648353850
101056717540
114a254258a
12255a86430
1313ac08068
14a04b3204
1562b86760
hex3efc3ae4

1056717540 has 72 divisors (see below), whose sum is σ = 3220683648. Its totient is φ = 280445760.

The previous prime is 1056717539. The next prime is 1056717587. The reversal of 1056717540 is 457176501.

1056717540 is a `hidden beast` number, since 105 + 6 + 7 + 1 + 7 + 540 = 666.

It is a super-2 number, since 2×10567175402 = 2233303918687303200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1056717495 and 1056717504.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24069 + ... + 51891.

Almost surely, 21056717540 is an apocalyptic number.

1056717540 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 1056717540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610341824).

1056717540 is an abundant number, since it is smaller than the sum of its proper divisors (2163966108).

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

1056717540 is a wasteful number, since it uses less digits than its factorization.

1056717540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28049 (or 28044 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 1056717540 is about 32507.1921272816. The cubic root of 1056717540 is about 1018.5592692981.

The spelling of 1056717540 in words is "one billion, fifty-six million, seven hundred seventeen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 633 844 1055 1266 1899 2110 2532 3165 3798 4220 6330 7596 9495 12660 18990 27823 37980 55646 83469 111292 139115 166938 250407 278230 333876 417345 500814 556460 834690 1001628 1252035 1669380 2504070 5008140 5870653 11741306 17611959 23482612 29353265 35223918 52835877 58706530 70447836 88059795 105671754 117413060 176119590 211343508 264179385 352239180 528358770 1056717540