Search a number
-
+
117712353 = 31119241241
BaseRepresentation
bin1110000010000…
…10010111100001
322012111101222210
413001002113201
5220113243403
615402552333
72626352463
oct701022741
9265441883
10117712353
116049a040
12335086a9
131b5058a5
14118c2133
15a502b03
hex70425e1

117712353 has 48 divisors (see below), whose sum is σ = 185879232. Its totient is φ = 65664000.

The previous prime is 117712351. The next prime is 117712409. The reversal of 117712353 is 353217711.

It is not a de Polignac number, because 117712353 - 21 = 117712351 is a prime.

Its product of digits (4410) is a multiple of the sum of its prime divisors (315).

It is a self number, because there is not a number n which added to its sum of digits gives 117712353.

It is not an unprimeable number, because it can be changed into a prime (117712351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488313 + ... + 488553.

It is an arithmetic number, because the mean of its divisors is an integer number (3872484).

Almost surely, 2117712353 is an apocalyptic number.

It is an amenable number.

117712353 is a deficient number, since it is larger than the sum of its proper divisors (68166879).

117712353 is a wasteful number, since it uses less digits than its factorization.

117712353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 117712353 is about 10849.5323862367. The cubic root of 117712353 is about 490.0879378477.

It can be divided in two parts, 1177 and 12353, that added together give a triangular number (13530 = T164).

The spelling of 117712353 in words is "one hundred seventeen million, seven hundred twelve thousand, three hundred fifty-three".

Divisors: 1 3 11 19 33 41 57 123 209 241 361 451 627 723 779 1083 1353 2337 2651 3971 4579 7953 8569 9881 11913 13737 14801 25707 29643 44403 50369 87001 108691 151107 162811 187739 261003 326073 488433 563217 957011 2065129 2871033 3567041 6195387 10701123 39237451 117712353