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117729 = 32103127
BaseRepresentation
bin11100101111100001
312222111100
4130233201
512231404
62305013
71000143
oct345741
9188440
10117729
11804a7
1258169
1341781
1430c93
1524d39
hex1cbe1

117729 has 12 divisors (see below), whose sum is σ = 173056. Its totient is φ = 77112.

The previous prime is 117727. The next prime is 117731. The reversal of 117729 is 927711.

It is an interprime number because it is at equal distance from previous prime (117727) and next prime (117731).

It is not a de Polignac number, because 117729 - 21 = 117727 is a prime.

It is a Duffinian number.

117729 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (117721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864 + ... + 990.

117729 is a Friedman number, since it can be written as 9^2+7^(7-1)-1, using all its digits and the basic arithmetic operations.

2117729 is an apocalyptic number.

It is an amenable number.

117729 is a deficient number, since it is larger than the sum of its proper divisors (55327).

117729 is a wasteful number, since it uses less digits than its factorization.

117729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 233 counting only the distinct ones).

The product of its digits is 882, while the sum is 27.

The square root of 117729 is about 343.1165982578. The cubic root of 117729 is about 49.0111039669.

It can be divided in two parts, 11772 and 9, that added together give a triangular number (11781 = T153).

The spelling of 117729 in words is "one hundred seventeen thousand, seven hundred twenty-nine".

Divisors: 1 3 9 103 127 309 381 927 1143 13081 39243 117729