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117809120 = 255111319271
BaseRepresentation
bin1110000010110…
…01111111100000
322012200022201202
413001121333200
5220124342440
615405020332
72630234552
oct701317740
9265608652
10117809120
1160555810
12335546a8
131b53a950
14119094d2
15a521615
hex7059fe0

117809120 has 192 divisors, whose sum is σ = 345461760. Its totient is φ = 37324800.

The previous prime is 117809071. The next prime is 117809149. The reversal of 117809120 is 21908711.

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, 434585 + ... + 434855.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 2117809120 is an apocalyptic number.

117809120 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 117809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

117809120 is an abundant number, since it is smaller than the sum of its proper divisors (227652640).

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

117809120 is a wasteful number, since it uses less digits than its factorization.

117809120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 117809120 is about 10853.9909710668. The cubic root of 117809120 is about 490.2221954934. Note that the first 3 decimals are identical.

The spelling of 117809120 in words is "one hundred seventeen million, eight hundred nine thousand, one hundred twenty".