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1027686933 = 34713139423
BaseRepresentation
bin111101010000010…
…100001000010101
32122121202220110000
4331100110020111
54101041440213
6245550521513
734316123550
oct7520241025
92577686400
101027686933
11488114449
12248206299
13134bb23a0
149a6b7697
156034ec73
hex3d414215

1027686933 has 40 divisors (see below), whose sum is σ = 1889474048. Its totient is φ = 542072736.

The previous prime is 1027686917. The next prime is 1027686977. The reversal of 1027686933 is 3396867201.

It is not a de Polignac number, because 1027686933 - 24 = 1027686917 is a prime.

It is a super-2 number, since 2×10276869332 = 2112280864517892978, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027686733) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62341 + ... + 77082.

Almost surely, 21027686933 is an apocalyptic number.

1027686933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1027686933 is a deficient number, since it is larger than the sum of its proper divisors (861787115).

1027686933 is a wasteful number, since it uses less digits than its factorization.

1027686933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139455 (or 139446 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1027686933 is about 32057.5565662762. The cubic root of 1027686933 is about 1009.1450900518.

The spelling of 1027686933 in words is "one billion, twenty-seven million, six hundred eighty-six thousand, nine hundred thirty-three".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 273 351 567 819 1053 2457 7371 139423 418269 975961 1254807 1812499 2927883 3764421 5437497 8783649 11293263 12687493 16312491 26350947 38062479 48937473 79052841 114187437 146812419 342562311 1027686933