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117850320 = 24325767349
BaseRepresentation
bin1110000011001…
…00000011010000
322012202102020200
413001210003100
5220132202240
615405535200
72630465640
oct701440320
9265672220
10117850320
1160583765
1233574500
131b553623
141191a520
15a52d930
hex70640d0

117850320 has 240 divisors, whose sum is σ = 460387200. Its totient is φ = 26459136.

The previous prime is 117850319. The next prime is 117850339. The reversal of 117850320 is 23058711.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337506 + ... + 337854.

It is an arithmetic number, because the mean of its divisors is an integer number (1918280).

Almost surely, 2117850320 is an apocalyptic number.

117850320 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 117850320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230193600).

117850320 is an abundant number, since it is smaller than the sum of its proper divisors (342536880).

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

117850320 is a wasteful number, since it uses less digits than its factorization.

117850320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 117850320 is about 10855.8887245587. Note that the first 3 decimals coincide. The cubic root of 117850320 is about 490.2793353834.

The spelling of 117850320 in words is "one hundred seventeen million, eight hundred fifty thousand, three hundred twenty".