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117660 = 22353753
BaseRepresentation
bin11100101110011100
312222101210
4130232130
512231120
62304420
71000014
oct345634
9188353
10117660
1180444
1258110
134172a
1430c44
1524ce0
hex1cb9c

117660 has 48 divisors (see below), whose sum is σ = 344736. Its totient is φ = 29952.

The previous prime is 117659. The next prime is 117671. The reversal of 117660 is 66711.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2194 + ... + 2246.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

117660 is a Friedman number, since it can be written as 10+7^6+1^6, using all its digits and the basic arithmetic operations.

2117660 is an apocalyptic number.

117660 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 117660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368).

117660 is an abundant number, since it is smaller than the sum of its proper divisors (227076).

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

117660 is a wasteful number, since it uses less digits than its factorization.

117660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 117660 is about 343.0160346106. The cubic root of 117660 is about 49.0015270939.

It can be divided in two parts, 117 and 660, that added together give a palindrome (777).

The spelling of 117660 in words is "one hundred seventeen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 53 60 74 106 111 148 159 185 212 222 265 318 370 444 530 555 636 740 795 1060 1110 1590 1961 2220 3180 3922 5883 7844 9805 11766 19610 23532 29415 39220 58830 117660