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1064088157 = 11217975333
BaseRepresentation
bin111111011011001…
…011001001011101
32202011021021112111
4333123023021131
54134401310112
6253331034021
735240412556
oct7733131135
92664237474
101064088157
114a6717200
1225843b911
1313c5b8b82
14a147132d
15636405a7
hex3f6cb25d

1064088157 has 24 divisors (see below), whose sum is σ = 1251420408. Its totient is φ = 900894720.

The previous prime is 1064088127. The next prime is 1064088167. The reversal of 1064088157 is 7518804601.

It can be written as a sum of positive squares in 4 ways, for example, as 632321316 + 431766841 = 25146^2 + 20779^2 .

It is not a de Polignac number, because 1064088157 - 27 = 1064088029 is a prime.

It is a super-2 number, since 2×10640881572 = 2264567211735313298, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064088107) 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, 196863 + ... + 202195.

It is an arithmetic number, because the mean of its divisors is an integer number (52142517).

Almost surely, 21064088157 is an apocalyptic number.

1064088157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1064088157 is a deficient number, since it is larger than the sum of its proper divisors (187332251).

1064088157 is a wasteful number, since it uses less digits than its factorization.

1064088157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 1064088157 is about 32620.3641457296. The cubic root of 1064088157 is about 1020.9219387751.

The spelling of 1064088157 in words is "one billion, sixty-four million, eighty-eight thousand, one hundred fifty-seven".

Divisors: 1 11 17 97 121 187 1067 1649 2057 5333 11737 18139 58663 90661 199529 517301 645293 997271 5690311 8794117 10969981 62593421 96735287 1064088157