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1056680576 = 2771179331
BaseRepresentation
bin111110111110111…
…010101010000000
32201122022221020122
4332332322222000
54131002234301
6252504155412
735120431250
oct7676725200
92648287218
101056680576
114a2517836
12255a68b68
1313abc42a3
14a04a3960
1562b7a81b
hex3efbaa80

1056680576 has 32 divisors (see below), whose sum is σ = 2405837280. Its totient is φ = 452862720.

The previous prime is 1056680567. The next prime is 1056680579. The reversal of 1056680576 is 6750866501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10566805762 = 2233147679391383552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056680579) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 588770 + ... + 590561.

It is an arithmetic number, because the mean of its divisors is an integer number (75182415).

Almost surely, 21056680576 is an apocalyptic number.

1056680576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1056680576 is an abundant number, since it is smaller than the sum of its proper divisors (1349156704).

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

1056680576 is an equidigital number, since it uses as much as digits as its factorization.

1056680576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179352 (or 1179340 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 1056680576 is about 32506.6235712047. The cubic root of 1056680576 is about 1018.5473927520.

The spelling of 1056680576 in words is "one billion, fifty-six million, six hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1179331 2358662 4717324 8255317 9434648 16510634 18869296 33021268 37738592 66042536 75477184 132085072 150954368 264170144 528340288 1056680576