Search a number
-
+
117292716 = 223231227463
BaseRepresentation
bin1101111110110…
…11111010101100
322011201002100200
412333123322230
5220011331331
615345553500
72622654162
oct677337254
9264632320
10117292716
1160232832
1233345890
131b3b9898
1411813232
15a46d5e6
hex6fdbeac

117292716 has 72 divisors (see below), whose sum is σ = 308066304. Its totient is φ = 37588320.

The previous prime is 117292699. The next prime is 117292729. The reversal of 117292716 is 617292711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253101 + ... + 253563.

Almost surely, 2117292716 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 117292716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154033152).

117292716 is an abundant number, since it is smaller than the sum of its proper divisors (190773588).

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

117292716 is a wasteful number, since it uses less digits than its factorization.

117292716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 726 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 117292716 is about 10830.1761758524. The cubic root of 117292716 is about 489.5048670570.

The spelling of 117292716 in words is "one hundred seventeen million, two hundred ninety-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 227 279 372 454 463 558 681 908 926 1116 1362 1389 1852 2043 2724 2778 4086 4167 5556 7037 8172 8334 14074 14353 16668 21111 28148 28706 42222 43059 57412 63333 84444 86118 105101 126666 129177 172236 210202 253332 258354 315303 420404 516708 630606 945909 1261212 1891818 3258131 3783636 6516262 9774393 13032524 19548786 29323179 39097572 58646358 117292716