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115246080 = 2103254161
BaseRepresentation
bin1101101111010…
…00010000000000
322000212002220100
412313220100000
5214000333310
615234042400
72566401255
oct667502000
9260762810
10115246080
115a0650a4
1232719400
131ab51161
141143d42c
15a1b6ec0
hex6de8400

115246080 has 264 divisors, whose sum is σ = 415770264. Its totient is φ = 29491200.

The previous prime is 115246073. The next prime is 115246091. The reversal of 115246080 is 80642511.

115246080 is a `hidden beast` number, since 1 + 1 + 52 + 4 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7750656 + 107495424 = 2784^2 + 10368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1889250 + ... + 1889310.

Almost surely, 2115246080 is an apocalyptic number.

115246080 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 115246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207885132).

115246080 is an abundant number, since it is smaller than the sum of its proper divisors (300524184).

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

115246080 is a wasteful number, since it uses less digits than its factorization.

115246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 115246080 is about 10735.2727026378. The cubic root of 115246080 is about 486.6410278188.

Adding to 115246080 its reverse (80642511), we get a palindrome (195888591).

The spelling of 115246080 in words is "one hundred fifteen million, two hundred forty-six thousand, eighty".