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116832960 = 26325113359
BaseRepresentation
bin1101111011010…
…11101011000000
322010211201200200
412331223223000
5214402123320
615332045200
72616030606
oct675535300
9263751620
10116832960
115aa49372
1233163800
131b28853a
1411733876
15a3cc290
hex6f6bac0

116832960 has 168 divisors, whose sum is σ = 406542240. Its totient is φ = 30793728.

The previous prime is 116832953. The next prime is 116832983. The reversal of 116832960 is 69238611.

It is a super-3 number, since 3×1168329603 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325261 + ... + 325619.

Almost surely, 2116832960 is an apocalyptic number.

116832960 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 116832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203271120).

116832960 is an abundant number, since it is smaller than the sum of its proper divisors (289709280).

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

116832960 is a wasteful number, since it uses less digits than its factorization.

116832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 116832960 is about 10808.9296417360. The cubic root of 116832960 is about 488.8644536303.

The spelling of 116832960 in words is "one hundred sixteen million, eight hundred thirty-two thousand, nine hundred sixty".