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115343640 = 233251747401
BaseRepresentation
bin1101110000000…
…00000100011000
322001001001201200
412320000010120
5214011444030
615240114200
72600255556
oct670000430
9261031650
10115343640
115a121425
1232765960
131ab86699
1411466bd6
15a1d5d60
hex6e00118

115343640 has 192 divisors, whose sum is σ = 406373760. Its totient is φ = 28262400.

The previous prime is 115343633. The next prime is 115343663. The reversal of 115343640 is 46343511.

115343640 is a `hidden beast` number, since 1 + 15 + 3 + 4 + 3 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287440 + ... + 287840.

It is an arithmetic number, because the mean of its divisors is an integer number (2116530).

Almost surely, 2115343640 is an apocalyptic number.

115343640 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 115343640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203186880).

115343640 is an abundant number, since it is smaller than the sum of its proper divisors (291030120).

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

115343640 is a wasteful number, since it uses less digits than its factorization.

115343640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 115343640 is about 10739.8156408758. The cubic root of 115343640 is about 486.7783088672.

It can be divided in two parts, 1153436 and 40, that added together give a square (1153476 = 10742).

The spelling of 115343640 in words is "one hundred fifteen million, three hundred forty-three thousand, six hundred forty".