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115942080 = 2635235989
BaseRepresentation
bin1101110100100…
…10001011000000
322002011110122010
412322102023000
5214140121310
615301012520
72605330362
oct672221300
9262143563
10115942080
115a4a0001
12329b4140
131b035ba7
1411580d32
15a2a3320
hex6e922c0

115942080 has 224 divisors, whose sum is σ = 395020800. Its totient is φ = 28745728.

The previous prime is 115942067. The next prime is 115942081. The reversal of 115942080 is 80249511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115942081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1302676 + ... + 1302764.

Almost surely, 2115942080 is an apocalyptic number.

115942080 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 115942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197510400).

115942080 is an abundant number, since it is smaller than the sum of its proper divisors (279078720).

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

115942080 is a wasteful number, since it uses less digits than its factorization.

115942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 115942080 is about 10767.6404100434. The cubic root of 115942080 is about 487.6187113926.

The spelling of 115942080 in words is "one hundred fifteen million, nine hundred forty-two thousand, eighty".