Search a number
-
+
117134640 = 24335761127
BaseRepresentation
bin1101111101101…
…01010100110000
322011102001112000
412332311110300
5214441302030
615342334000
72621425260
oct676652460
9264361460
10117134640
1160134a97
123328a300
131b36294c
14117b17a0
15a43b860
hex6fb5530

117134640 has 320 divisors, whose sum is σ = 472350720. Its totient is φ = 26127360.

The previous prime is 117134629. The next prime is 117134651. The reversal of 117134640 is 46431711.

It is a happy number.

117134640 is a `hidden beast` number, since 1 + 1 + 7 + 13 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (117134629) and next prime (117134651).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 922257 + ... + 922383.

It is an arithmetic number, because the mean of its divisors is an integer number (1476096).

Almost surely, 2117134640 is an apocalyptic number.

117134640 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 117134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236175360).

117134640 is an abundant number, since it is smaller than the sum of its proper divisors (355216080).

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

117134640 is a wasteful number, since it uses less digits than its factorization.

117134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 117134640 is about 10822.8757731021. The cubic root of 117134640 is about 489.2848654479.

The spelling of 117134640 in words is "one hundred seventeen million, one hundred thirty-four thousand, six hundred forty".