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1140051627 = 321113885821
BaseRepresentation
bin100001111110011…
…1100111010101011
32221110012121211100
41003330330322223
54313323123002
6305043132443
740152164451
oct10374747253
92843177740
101140051627
11535590730
12279974123
13152264b80
14ab5a69d1
156a14811c
hex43f3ceab

1140051627 has 24 divisors (see below), whose sum is σ = 1934635248. Its totient is φ = 637790400.

The previous prime is 1140051589. The next prime is 1140051643. The reversal of 1140051627 is 7261500411.

It is a happy number.

1140051627 is a `hidden beast` number, since 1 + 140 + 0 + 516 + 2 + 7 = 666.

It is not a de Polignac number, because 1140051627 - 27 = 1140051499 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1140051627.

It is not an unprimeable number, because it can be changed into a prime (1140051527) 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 23 ways as a sum of consecutive naturals, for example, 441624 + ... + 444197.

It is an arithmetic number, because the mean of its divisors is an integer number (80609802).

Almost surely, 21140051627 is an apocalyptic number.

1140051627 is a deficient number, since it is larger than the sum of its proper divisors (794583621).

1140051627 is a wasteful number, since it uses less digits than its factorization.

1140051627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885851 (or 885848 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1140051627 is about 33764.6505535005. The cubic root of 1140051627 is about 1044.6596961258.

The spelling of 1140051627 in words is "one billion, one hundred forty million, fifty-one thousand, six hundred twenty-seven".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 885821 2657463 7972389 9744031 11515673 29232093 34547019 87696279 103641057 126672403 380017209 1140051627