Search a number
-
+
117500460 = 223571129877
BaseRepresentation
bin1110000000011…
…10101000101100
322012002122022220
413000032220230
5220040003320
615354235340
72624510640
oct700165054
9265078286
10117500460
1160364920
1233425b50
131b4602cc
1411868c20
15a4aee40
hex700ea2c

117500460 has 192 divisors, whose sum is σ = 424811520. Its totient is φ = 23546880.

The previous prime is 117500459. The next prime is 117500473. The reversal of 117500460 is 64005711.

It is a self number, because there is not a number n which added to its sum of digits gives 117500460.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 133542 + ... + 134418.

It is an arithmetic number, because the mean of its divisors is an integer number (2212560).

Almost surely, 2117500460 is an apocalyptic number.

117500460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117500460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212405760).

117500460 is an abundant number, since it is smaller than the sum of its proper divisors (307311060).

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

117500460 is a wasteful number, since it uses less digits than its factorization.

117500460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 117500460 is about 10839.7629125364. The cubic root of 117500460 is about 489.7936935195.

The spelling of 117500460 in words is "one hundred seventeen million, five hundred thousand, four hundred sixty".