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115433280 = 26325149269
BaseRepresentation
bin1101110000101…
…01111101000000
322001012121200200
412320111331000
5214022331110
615242045200
72601111114
oct670257500
9261177620
10115433280
115a182806
12327a9800
131abb8421
141148b744
15a2026c0
hex6e15f40

115433280 has 168 divisors, whose sum is σ = 401193000. Its totient is φ = 30461952.

The previous prime is 115433273. The next prime is 115433287. The reversal of 115433280 is 82334511.

It is a happy number.

115433280 is a `hidden beast` number, since 11 + 543 + 32 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (115433273) and next prime (115433287).

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 112529664 = 1704^2 + 10608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115433287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428986 + ... + 429254.

Almost surely, 2115433280 is an apocalyptic number.

115433280 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 115433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200596500).

115433280 is an abundant number, since it is smaller than the sum of its proper divisors (285759720).

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

115433280 is a wasteful number, since it uses less digits than its factorization.

115433280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 115433280 is about 10743.9880863672. The cubic root of 115433280 is about 486.9043771064.

Adding to 115433280 its reverse (82334511), we get a palindrome (197767791).

The spelling of 115433280 in words is "one hundred fifteen million, four hundred thirty-three thousand, two hundred eighty".