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1056008765 = 57127723627
BaseRepresentation
bin111110111100010…
…110101000111101
32201121001210200202
4332330112220331
54130314240030
6252441533245
735111632520
oct7674265075
92647053622
101056008765
114a20a9019
122557a4225
1313aa1a576
14a036abb7
1562a96745
hex3ef16a3d

1056008765 has 16 divisors (see below), whose sum is σ = 1449436032. Its totient is φ = 723522624.

The previous prime is 1056008761. The next prime is 1056008801. The reversal of 1056008765 is 5678006501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1056008765 - 22 = 1056008761 is a prime.

It is a super-2 number, since 2×10560087652 = 2230309023513650450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056008761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32882 + ... + 56508.

It is an arithmetic number, because the mean of its divisors is an integer number (90589752).

Almost surely, 21056008765 is an apocalyptic number.

It is an amenable number.

1056008765 is a deficient number, since it is larger than the sum of its proper divisors (393427267).

1056008765 is a wasteful number, since it uses less digits than its factorization.

1056008765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24916.

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 1056008765 is about 32496.2884803788. The cubic root of 1056008765 is about 1018.3314913644.

The spelling of 1056008765 in words is "one billion, fifty-six million, eight thousand, seven hundred sixty-five".

Divisors: 1 5 7 35 1277 6385 8939 23627 44695 118135 165389 826945 30171679 150858395 211201753 1056008765