Search a number
-
+
117516760 = 2355215639
BaseRepresentation
bin1110000000100…
…10100111011000
322012010110200121
413000102213120
5220041014020
615354443024
72624606314
oct700224730
9265113617
10117516760
1160376099
1233433474
131b46785a
1411870b44
15a4b4baa
hex70129d8

117516760 has 32 divisors (see below), whose sum is σ = 264967200. Its totient is φ = 46908160.

The previous prime is 117516739. The next prime is 117516769. The reversal of 117516760 is 67615711.

It is a super-3 number, since 3×1175167603 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117516769) 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 7 ways as a sum of consecutive naturals, for example, 18021 + ... + 23659.

It is an arithmetic number, because the mean of its divisors is an integer number (8280225).

Almost surely, 2117516760 is an apocalyptic number.

117516760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117516760 is an abundant number, since it is smaller than the sum of its proper divisors (147450440).

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

117516760 is a wasteful number, since it uses less digits than its factorization.

117516760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The square root of 117516760 is about 10840.5147479259. The cubic root of 117516760 is about 489.8163409998.

The spelling of 117516760 in words is "one hundred seventeen million, five hundred sixteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 521 1042 2084 2605 4168 5210 5639 10420 11278 20840 22556 28195 45112 56390 112780 225560 2937919 5875838 11751676 14689595 23503352 29379190 58758380 117516760