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115680840 = 233511231257
BaseRepresentation
bin1101110010100…
…10011001001000
322001200012021120
412321102121020
5214103241330
615251235240
72603161632
oct671223110
9261605246
10115680840
115a331800
12328a8b20
131ac74002
1411513a52
15a250c10
hex6e52648

115680840 has 192 divisors, whose sum is σ = 395297280. Its totient is φ = 27033600.

The previous prime is 115680839. The next prime is 115680847. The reversal of 115680840 is 48086511.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (115680847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449992 + ... + 450248.

It is an arithmetic number, because the mean of its divisors is an integer number (2058840).

Almost surely, 2115680840 is an apocalyptic number.

115680840 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 115680840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197648640).

115680840 is an abundant number, since it is smaller than the sum of its proper divisors (279616440).

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

115680840 is a wasteful number, since it uses less digits than its factorization.

115680840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 115680840 is about 10755.5027776483. The cubic root of 115680840 is about 487.2522027966.

The spelling of 115680840 in words is "one hundred fifteen million, six hundred eighty thousand, eight hundred forty".