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117075840 = 2735731281
BaseRepresentation
bin1101111101001…
…10111110000000
322011022001212020
412332212332000
5214432411330
615341201440
72621061660
oct676467600
9264261766
10117075840
11600a48a2
1233260280
131b341c5b
14117981a0
15a429210
hex6fa6f80

117075840 has 256 divisors, whose sum is σ = 441815040. Its totient is φ = 25804800.

The previous prime is 117075817. The next prime is 117075859. The reversal of 117075840 is 48570711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416500 + ... + 416780.

It is an arithmetic number, because the mean of its divisors is an integer number (1725840).

Almost surely, 2117075840 is an apocalyptic number.

117075840 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 117075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220907520).

117075840 is an abundant number, since it is smaller than the sum of its proper divisors (324739200).

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

117075840 is a wasteful number, since it uses less digits than its factorization.

117075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 117075840 is about 10820.1589637121. The cubic root of 117075840 is about 489.2029802900.

The spelling of 117075840 in words is "one hundred seventeen million, seventy-five thousand, eight hundred forty".