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1056435705 = 325131805873
BaseRepresentation
bin111110111101111…
…110110111111001
32201121212111100100
4332331332313321
54130421420310
6252455030013
735115361323
oct7675766771
92647774310
101056435705
114a236a866
1225596b309
1313ab399b0
14a043c613
1562b2cec0
hex3ef7edf9

1056435705 has 24 divisors (see below), whose sum is σ = 1972014408. Its totient is φ = 520091136.

The previous prime is 1056435691. The next prime is 1056435727. The reversal of 1056435705 is 5075346501.

1056435705 is a `hidden beast` number, since 1 + 0 + 5 + 643 + 5 + 7 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131606784 + 924828921 = 11472^2 + 30411^2 .

It is not a de Polignac number, because 1056435705 - 24 = 1056435689 is a prime.

It is a super-3 number, since 3×10564357053 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1056435705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902352 + ... + 903521.

It is an arithmetic number, because the mean of its divisors is an integer number (82167267).

Almost surely, 21056435705 is an apocalyptic number.

1056435705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1056435705 is a deficient number, since it is larger than the sum of its proper divisors (915578703).

1056435705 is a wasteful number, since it uses less digits than its factorization.

1056435705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805897 (or 1805894 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 1056435705 is about 32502.8568744349. The cubic root of 1056435705 is about 1018.4687086183.

The spelling of 1056435705 in words is "one billion, fifty-six million, four hundred thirty-five thousand, seven hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1805873 5417619 9029365 16252857 23476349 27088095 70429047 81264285 117381745 211287141 352145235 1056435705