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115482240 = 2733541163
BaseRepresentation
bin1101110001000…
…01111010000000
322001022002212000
412320201322000
5214030412430
615243104000
72601403626
oct670417200
9261262760
10115482240
115a206575
1232812000
131ac047b3
14114a1516
15a211e60
hex6e21e80

115482240 has 256 divisors, whose sum is σ = 421545600. Its totient is φ = 29859840.

The previous prime is 115482203. The next prime is 115482307. The reversal of 115482240 is 42284511.

It is a super-2 number, since 2×1154822402 = 26672295510835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 708399 + ... + 708561.

Almost surely, 2115482240 is an apocalyptic number.

115482240 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 115482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210772800).

115482240 is an abundant number, since it is smaller than the sum of its proper divisors (306063360).

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

115482240 is a wasteful number, since it uses less digits than its factorization.

115482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 115482240 is about 10746.2663283580. The cubic root of 115482240 is about 486.9732060980.

The spelling of 115482240 in words is "one hundred fifteen million, four hundred eighty-two thousand, two hundred forty".