117090 has 24 divisors (see below), whose sum is σ = 304668. Its totient is φ = 31200.

The previous prime is 117071. The next prime is 117101. The reversal of 117090 is 90711.

It can be written as a sum of positive squares in 2 ways, for example, as 95481 + 21609 = 309^2 + 147^2 .

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a fibodiv number, since the Fibonacci-like sequence with seeds 1170 and 90 contains 117090 itself.

It is a Curzon number.

It is an unprimeable number.

117090 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, 561 + ... + 740.

2^{117090} is an apocalyptic number.

117090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117090 is an abundant number, since it is smaller than the sum of its proper divisors (187578).

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

117090 is a wasteful number, since it uses less digits than its factorization.

117090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 117090 is about 342.1841609426. The cubic root of 117090 is about 48.9222702079.

The spelling of 117090 in words is "one hundred seventeen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1301 2602 3903 6505 7806 11709 13010 19515 23418 39030 58545 117090

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