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117500 = 225447
BaseRepresentation
bin11100101011111100
312222011212
4130223330
512230000
62303552
7666365
oct345374
9188155
10117500
1180309
1257bb8
1341636
1430b6c
1524c35
hex1cafc

117500 has 30 divisors (see below), whose sum is σ = 262416. Its totient is φ = 46000.

The previous prime is 117499. The next prime is 117503. The reversal of 117500 is 5711.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 117500.

It is not an unprimeable number, because it can be changed into a prime (117503) 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 9 ways as a sum of consecutive naturals, for example, 2477 + ... + 2523.

2117500 is an apocalyptic number.

117500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131208).

117500 is an abundant number, since it is smaller than the sum of its proper divisors (144916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117500 is an equidigital number, since it uses as much as digits as its factorization.

117500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 117500 is about 342.7827300201. The cubic root of 117500 is about 48.9793054358.

The spelling of 117500 in words is "one hundred seventeen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 125 188 235 250 470 500 625 940 1175 1250 2350 2500 4700 5875 11750 23500 29375 58750 117500