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117994968 = 23357132329
BaseRepresentation
bin1110000100001…
…11010111011000
322020000202200000
413002013113120
5220201314333
615413013000
72631640440
oct702072730
9266022600
10117994968
1160672403
1233624160
131b5a4410
1411957120
15a55b713
hex70875d8

117994968 has 384 divisors, whose sum is σ = 440294400. Its totient is φ = 28740096.

The previous prime is 117994963. The next prime is 117994969. The reversal of 117994968 is 869499711.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117994963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4068778 + ... + 4068806.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2117994968 is an apocalyptic number.

117994968 is a gapful number since it is divisible by the number (18) 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 117994968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

117994968 is an abundant number, since it is smaller than the sum of its proper divisors (322299432).

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

117994968 is a wasteful number, since it uses less digits than its factorization.

117994968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The square root of 117994968 is about 10862.5488721570. The cubic root of 117994968 is about 490.4798409357.

The spelling of 117994968 in words is "one hundred seventeen million, nine hundred ninety-four thousand, nine hundred sixty-eight".