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115868340 = 223357229151
BaseRepresentation
bin1101110100000…
…00001010110100
322002000201111000
412322000022310
5214130241330
615255243300
72604602400
oct672001264
9262021430
10115868340
115a44a665
1232979530
131b00b463
1411562100
15a28b560
hex6e802b4

115868340 has 288 divisors, whose sum is σ = 436665600. Its totient is φ = 25401600.

The previous prime is 115868339. The next prime is 115868353. The reversal of 115868340 is 43868511.

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

It is a junction number, because it is equal to n+sod(n) for n = 115868295 and 115868304.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 767265 + ... + 767415.

It is an arithmetic number, because the mean of its divisors is an integer number (1516200).

Almost surely, 2115868340 is an apocalyptic number.

115868340 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 115868340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218332800).

115868340 is an abundant number, since it is smaller than the sum of its proper divisors (320797260).

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

115868340 is a wasteful number, since it uses less digits than its factorization.

115868340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 115868340 is about 10764.2157169020. The cubic root of 115868340 is about 487.5153131285.

The spelling of 115868340 in words is "one hundred fifteen million, eight hundred sixty-eight thousand, three hundred forty".