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117975 = 35211213
BaseRepresentation
bin11100110011010111
312222211110
4130303113
512233400
62310103
71000644
oct346327
9188743
10117975
1180700
1258333
1341910
1430dcb
1524e50
hex1ccd7

117975 has 36 divisors (see below), whose sum is σ = 230888. Its totient is φ = 52800.

The previous prime is 117973. The next prime is 117977. The reversal of 117975 is 579711.

It is an interprime number because it is at equal distance from previous prime (117973) and next prime (117977).

It is not a de Polignac number, because 117975 - 21 = 117973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9069 + ... + 9081.

2117975 is an apocalyptic number.

117975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117975 is a deficient number, since it is larger than the sum of its proper divisors (112913).

117975 is a wasteful number, since it uses less digits than its factorization.

117975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 32 counting only the distinct ones).

The product of its digits is 2205, while the sum is 30.

The square root of 117975 is about 343.4748899119. The cubic root of 117975 is about 49.0452171807.

It can be divided in two parts, 11797 and 5, that multiplied together give a palindrome (58985).

The spelling of 117975 in words is "one hundred seventeen thousand, nine hundred seventy-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 75 121 143 165 195 275 325 363 429 605 715 825 975 1573 1815 2145 3025 3575 4719 7865 9075 10725 23595 39325 117975