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1056686040 = 23335978413
BaseRepresentation
bin111110111110111…
…011111111011000
32201122100012202000
4332332323333120
54131002423130
6252504241000
735120453214
oct7676737730
92648305660
101056686040
114a2520953
12255a70160
1313abc6917
14a04a5944
1562b7c260
hex3efbbfd8

1056686040 has 64 divisors (see below), whose sum is σ = 3522290400. Its totient is φ = 281782656.

The previous prime is 1056686039. The next prime is 1056686089. The reversal of 1056686040 is 406866501.

1056686040 is a `hidden beast` number, since 10 + 566 + 86 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×10566860402 = 2233170774261763200, which contains 22 as substring.

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 = 1056685986 and 1056686004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488127 + ... + 490286.

Almost surely, 21056686040 is an apocalyptic number.

1056686040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056686040 is an abundant number, since it is smaller than the sum of its proper divisors (2465604360).

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

1056686040 is a wasteful number, since it uses less digits than its factorization.

1056686040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978433 (or 978423 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1056686040 is about 32506.7076155061. The cubic root of 1056686040 is about 1018.5491483546.

The spelling of 1056686040 in words is "one billion, fifty-six million, six hundred eighty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 978413 1956826 2935239 3913652 4892065 5870478 7827304 8805717 9784130 11740956 14676195 17611434 19568260 23481912 26417151 29352390 35222868 39136520 44028585 52834302 58704780 70445736 88057170 105668604 117409560 132085755 176114340 211337208 264171510 352228680 528343020 1056686040