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117700 = 225211107
BaseRepresentation
bin11100101111000100
312222110021
4130233010
512231300
62304524
71000102
oct345704
9188407
10117700
1180480
1258144
134175b
1430c72
1524d1a
hex1cbc4

117700 has 36 divisors (see below), whose sum is σ = 281232. Its totient is φ = 42400.

The previous prime is 117679. The next prime is 117701. The reversal of 117700 is 7711.

It is a happy number.

It is a d-powerful number, because it can be written as 1 + 1 + 72 + 76 + 0 + 0 .

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (117701) by changing a digit.

117700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1047 + ... + 1153.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2117700 is an apocalyptic number.

117700 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 117700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616).

117700 is an abundant number, since it is smaller than the sum of its proper divisors (163532).

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

117700 is a wasteful number, since it uses less digits than its factorization.

117700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 16.

The square root of 117700 is about 343.0743359682. The cubic root of 117700 is about 49.0070793603.

The spelling of 117700 in words is "one hundred seventeen thousand, seven hundred", and thus it is an iban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 428 535 550 1070 1100 1177 2140 2354 2675 4708 5350 5885 10700 11770 23540 29425 58850 117700