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115866240 = 2735737233
BaseRepresentation
bin1101110011111…
…11101010000000
322002000121121020
412321333222000
5214130204430
615255225440
72604563310
oct671775200
9262017536
10115866240
115a449026
1232978280
131b00a509
1411561440
15a28ab10
hex6e7fa80

115866240 has 256 divisors, whose sum is σ = 435352320. Its totient is φ = 25657344.

The previous prime is 115866239. The next prime is 115866241. The reversal of 115866240 is 42668511.

It is an interprime number because it is at equal distance from previous prime (115866239) and next prime (115866241).

It is not an unprimeable number, because it can be changed into a prime (115866241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497164 + ... + 497396.

It is an arithmetic number, because the mean of its divisors is an integer number (1700595).

Almost surely, 2115866240 is an apocalyptic number.

115866240 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 115866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217676160).

115866240 is an abundant number, since it is smaller than the sum of its proper divisors (319486080).

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

115866240 is a wasteful number, since it uses less digits than its factorization.

115866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 115866240 is about 10764.1181710347. The cubic root of 115866240 is about 487.5123678651.

The spelling of 115866240 in words is "one hundred fifteen million, eight hundred sixty-six thousand, two hundred forty".