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115755328 = 26133732
BaseRepresentation
bin1101110011001…
…00100101000000
322001210222110101
412321210211000
5214113132303
615253012144
72603622043
oct671444500
9261728411
10115755328
115a382767
1232924054
131ac9bba0
1411532c5a
15a267d1d
hex6e64940

115755328 has 42 divisors (see below), whose sum is σ = 248036334. Its totient is φ = 53282304.

The previous prime is 115755323. The next prime is 115755331. The reversal of 115755328 is 823557511.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6594624 + 109160704 = 2568^2 + 10448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115755323) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 310150 + ... + 310522.

It is an arithmetic number, because the mean of its divisors is an integer number (5905627).

Almost surely, 2115755328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115755328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124018167).

115755328 is an abundant number, since it is smaller than the sum of its proper divisors (132281006).

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

115755328 is an frugal number, since it uses more digits than its factorization.

115755328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 388 counting only the distinct ones).

The product of its digits is 42000, while the sum is 37.

The square root of 115755328 is about 10758.9650059845. The cubic root of 115755328 is about 487.3567624764.

The spelling of 115755328 in words is "one hundred fifteen million, seven hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 373 416 746 832 1492 2984 4849 5968 9698 11936 19396 23872 38792 77584 139129 155168 278258 310336 556516 1113032 1808677 2226064 3617354 4452128 7234708 8904256 14469416 28938832 57877664 115755328