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117391120 = 245711171959
BaseRepresentation
bin1101111111100…
…11111100010000
322011220002100021
412333303330100
5220023003440
615352033224
72623544110
oct677637420
9264802307
10117391120
116029a760
1233392814
131b422602
141183b040
15a48c84a
hex6ff3f10

117391120 has 320 divisors, whose sum is σ = 385689600. Its totient is φ = 32071680.

The previous prime is 117391117. The next prime is 117391129. The reversal of 117391120 is 21193711.

117391120 is nontrivially palindromic in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117391129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1989651 + ... + 1989709.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 2117391120 is an apocalyptic number.

117391120 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 117391120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

117391120 is an abundant number, since it is smaller than the sum of its proper divisors (268298480).

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

117391120 is a wasteful number, since it uses less digits than its factorization.

117391120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 25.

The square root of 117391120 is about 10834.7182704489. The cubic root of 117391120 is about 489.6417206035.

The spelling of 117391120 in words is "one hundred seventeen million, three hundred ninety-one thousand, one hundred twenty".