Search a number
-
+
117682146 = 234977489
BaseRepresentation
bin1110000001110…
…10111111100010
322012102212120000
413000322333202
5220111312041
615402200430
72626165431
oct700727742
9265385500
10117682146
116047937a
12334b3116
131b4c4c0a
14118b5118
15a4e8bb6
hex703afe2

117682146 has 40 divisors (see below), whose sum is σ = 266449260. Its totient is φ = 38817792.

The previous prime is 117682139. The next prime is 117682151. The reversal of 117682146 is 641286711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 117614025 + 68121 = 10845^2 + 261^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 117682146.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11970 + ... + 19458.

Almost surely, 2117682146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117682146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133224630).

117682146 is an abundant number, since it is smaller than the sum of its proper divisors (148767114).

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

117682146 is an equidigital number, since it uses as much as digits as its factorization.

117682146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 7591 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 117682146 is about 10848.1402092709. The cubic root of 117682146 is about 490.0460126165.

The spelling of 117682146 in words is "one hundred seventeen million, six hundred eighty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1746 2619 5238 7489 7857 14978 15714 22467 44934 67401 134802 202203 404406 606609 726433 1213218 1452866 2179299 4358598 6537897 13075794 19613691 39227382 58841073 117682146