Search a number
-
+
117458660 = 225113311613
BaseRepresentation
bin1110000000001…
…00011011100100
322012000111222202
413000010123210
5220032134120
615353314032
72624245034
oct700043344
9265014882
10117458660
1160336480
1233405918
131b447287
14118578c4
15a4a2875
hex70046e4

117458660 has 48 divisors (see below), whose sum is σ = 270067392. Its totient is φ = 42556800.

The previous prime is 117458629. The next prime is 117458669. The reversal of 117458660 is 66854711.

It is not an unprimeable number, because it can be changed into a prime (117458669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72014 + ... + 73626.

It is an arithmetic number, because the mean of its divisors is an integer number (5626404).

Almost surely, 2117458660 is an apocalyptic number.

117458660 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 117458660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135033696).

117458660 is an abundant number, since it is smaller than the sum of its proper divisors (152608732).

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

117458660 is a wasteful number, since it uses less digits than its factorization.

117458660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 117458660 is about 10837.8346545793. The cubic root of 117458660 is about 489.7356063579.

The spelling of 117458660 in words is "one hundred seventeen million, four hundred fifty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 1324 1613 1655 3226 3310 3641 6452 6620 7282 8065 14564 16130 17743 18205 32260 35486 36410 70972 72820 88715 177430 354860 533903 1067806 2135612 2669515 5339030 5872933 10678060 11745866 23491732 29364665 58729330 117458660