Search a number
-
+
117992 = 237343
BaseRepresentation
bin11100110011101000
312222212002
4130303220
512233432
62310132
71001000
oct346350
9188762
10117992
1180716
1258348
1341924
1431000
1524e62
hex1cce8

117992 has 32 divisors (see below), whose sum is σ = 264000. Its totient is φ = 49392.

The previous prime is 117991. The next prime is 118033. The reversal of 117992 is 299711.

117992 is nontrivially palindromic in base 6.

It is a super-2 number, since 2×1179922 = 27844224128, which contains 22 as substring.

It is a nialpdrome in base 14.

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 117992.

It is not an unprimeable number, because it can be changed into a prime (117991) 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, 2723 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (8250).

2117992 is an apocalyptic number.

It is a pronic number, being equal to 343×344.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132000).

117992 is an abundant number, since it is smaller than the sum of its proper divisors (146008).

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

117992 is an equidigital number, since it uses as much as digits as its factorization.

117992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 52 counting only the distinct ones).

The product of its digits is 1134, while the sum is 29.

The square root of 117992 is about 343.4996360988. The cubic root of 117992 is about 49.0475728454.

The spelling of 117992 in words is "one hundred seventeen thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 43 49 56 86 98 172 196 301 343 344 392 602 686 1204 1372 2107 2408 2744 4214 8428 14749 16856 29498 58996 117992