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115831296 = 29357219
BaseRepresentation
bin1101110011101…
…11001000000000
322001221211200000
412321313020000
5214123100141
615254400000
72604356400
oct671671000
9261854600
10115831296
115a424849
1232960000
131acc7639
1411552800
15a2805b6
hex6e77200

115831296 has 360 divisors, whose sum is σ = 424504080. Its totient is φ = 31352832.

The previous prime is 115831279. The next prime is 115831297. The reversal of 115831296 is 692138511.

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

It is a self number, because there is not a number n which added to its sum of digits gives 115831296.

It is not an unprimeable number, because it can be changed into a prime (115831297) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6096375 + ... + 6096393.

It is an arithmetic number, because the mean of its divisors is an integer number (1179178).

Almost surely, 2115831296 is an apocalyptic number.

115831296 is a gapful number since it is divisible by the number (16) 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 115831296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212252040).

115831296 is an abundant number, since it is smaller than the sum of its proper divisors (308672784).

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

115831296 is an frugal number, since it uses more digits than its factorization.

115831296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 31 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 115831296 is about 10762.4948780476. The cubic root of 115831296 is about 487.4633534583.

The spelling of 115831296 in words is "one hundred fifteen million, eight hundred thirty-one thousand, two hundred ninety-six".