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1076135427 = 32717612213
BaseRepresentation
bin100000000100100…
…1000011000000011
32202222221100021200
41000021020120003
54200442313202
6254441152243
735445000033
oct10011103003
92688840250
101076135427
115024a5524
1226048b683
13141c46533
14a2cc98c3
156471ee1c
hex40248603

1076135427 has 24 divisors (see below), whose sum is σ = 1579095648. Its totient is φ = 706070400.

The previous prime is 1076135371. The next prime is 1076135449. The reversal of 1076135427 is 7245316701.

It is a happy number.

1076135427 is a `hidden beast` number, since 10 + 7 + 613 + 5 + 4 + 27 = 666.

It is not a de Polignac number, because 1076135427 - 27 = 1076135299 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1076135391 and 1076135400.

It is not an unprimeable number, because it can be changed into a prime (1076135497) 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, 485173 + ... + 487385.

It is an arithmetic number, because the mean of its divisors is an integer number (65795652).

Almost surely, 21076135427 is an apocalyptic number.

1076135427 is a deficient number, since it is larger than the sum of its proper divisors (502960221).

1076135427 is a wasteful number, since it uses less digits than its factorization.

1076135427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1076135427 is about 32804.5031512443. The cubic root of 1076135427 is about 1024.7603411928.

It can be divided in two parts, 1076 and 135427, that added together give a triangular number (136503 = T522).

The spelling of 1076135427 in words is "one billion, seventy-six million, one hundred thirty-five thousand, four hundred twenty-seven".

Divisors: 1 3 9 71 213 639 761 2213 2283 6639 6849 19917 54031 157123 162093 471369 486279 1414107 1684093 5052279 15156837 119570603 358711809 1076135427