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117585127 = 1131733721
BaseRepresentation
bin1110000001000…
…11010011100111
322012020221110201
413000203103213
5220100211002
615400131331
72625312532
oct700432347
9265227421
10117585127
11604124a0
1233466b47
131b48c9ca
141188ba19
15a4ca087
hex70234e7

117585127 has 8 divisors (see below), whose sum is σ = 128683152. Its totient is φ = 106555200.

The previous prime is 117585121. The next prime is 117585137. The reversal of 117585127 is 721585711.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-117585127 is a prime.

It is a super-2 number, since 2×1175851272 = 27652524183212258, 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 (117585121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13374 + ... + 20347.

It is an arithmetic number, because the mean of its divisors is an integer number (16085394).

Almost surely, 2117585127 is an apocalyptic number.

117585127 is a deficient number, since it is larger than the sum of its proper divisors (11098025).

117585127 is a wasteful number, since it uses less digits than its factorization.

117585127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34049.

The product of its digits is 19600, while the sum is 37.

The square root of 117585127 is about 10843.6675991106. The cubic root of 117585127 is about 489.9113083956.

The spelling of 117585127 in words is "one hundred seventeen million, five hundred eighty-five thousand, one hundred twenty-seven".

Divisors: 1 11 317 3487 33721 370931 10689557 117585127