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1056366405 = 32530617669
BaseRepresentation
bin111110111101101…
…101111101000101
32201121201222021200
4332331231331011
54130412211110
6252453333113
735114652303
oct7675557505
92647658250
101056366405
114a2322796
12255937199
1313ab142a3
14a0421273
1562b176c0
hex3ef6df45

1056366405 has 24 divisors (see below), whose sum is σ = 1831872120. Its totient is φ = 563137920.

The previous prime is 1056366403. The next prime is 1056366413. The reversal of 1056366405 is 5046636501.

1056366405 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 3 + 6 + 640 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 631717956 + 424648449 = 25134^2 + 20607^2 .

It is not a de Polignac number, because 1056366405 - 21 = 1056366403 is a prime.

It is a super-2 number, since 2×10563664052 = 2231819963225248050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056366405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056366403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133911 + ... + 141579.

It is an arithmetic number, because the mean of its divisors is an integer number (76328005).

Almost surely, 21056366405 is an apocalyptic number.

1056366405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1056366405 is a deficient number, since it is larger than the sum of its proper divisors (775505715).

1056366405 is a wasteful number, since it uses less digits than its factorization.

1056366405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10741 (or 10738 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1056366405 is about 32501.7907968161. The cubic root of 1056366405 is about 1018.4464383169.

The spelling of 1056366405 in words is "one billion, fifty-six million, three hundred sixty-six thousand, four hundred five".

Divisors: 1 3 5 9 15 45 3061 7669 9183 15305 23007 27549 38345 45915 69021 115035 137745 345105 23474809 70424427 117374045 211273281 352122135 1056366405