Search a number
-
+
117304 = 23113143
BaseRepresentation
bin11100101000111000
312221220121
4130220320
512223204
62303024
7665665
oct345070
9187817
10117304
1180150
1257a74
1341515
1430a6c
1524b54
hex1ca38

117304 has 32 divisors (see below), whose sum is σ = 253440. Its totient is φ = 50400.

The previous prime is 117281. The next prime is 117307. The reversal of 117304 is 403711.

117304 = 782 + 792 + ... + 932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2707 + ... + 2749.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2117304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126720).

117304 is an abundant number, since it is smaller than the sum of its proper divisors (136136).

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

117304 is a wasteful number, since it uses less digits than its factorization.

117304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 117304 is about 342.4967153127. The cubic root of 117304 is about 48.9520563956.

The spelling of 117304 in words is "one hundred seventeen thousand, three hundred four", and thus it is an iban number.

Divisors: 1 2 4 8 11 22 31 43 44 62 86 88 124 172 248 341 344 473 682 946 1333 1364 1892 2666 2728 3784 5332 10664 14663 29326 58652 117304