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115421760 = 263456173
BaseRepresentation
bin1101110000100…
…11001001000000
322001012000220000
412320103021000
5214021444020
615241520000
72601032406
oct670231100
9261160800
10115421760
115a175093
12327a3000
131abb30cc
1411487476
15a1ee090
hex6e13240

115421760 has 280 divisors, whose sum is σ = 423022776. Its totient is φ = 29859840.

The previous prime is 115421749. The next prime is 115421849. The reversal of 115421760 is 67124511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 115089984 = 576^2 + 10728^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1581084 + ... + 1581156.

Almost surely, 2115421760 is an apocalyptic number.

115421760 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 115421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211511388).

115421760 is an abundant number, since it is smaller than the sum of its proper divisors (307601016).

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

115421760 is an equidigital number, since it uses as much as digits as its factorization.

115421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 115421760 is about 10743.4519592168. The cubic root of 115421760 is about 486.8881792213. Note that the first 3 decimals are identical.

It can be divided in two parts, 115 and 421760, that added together give a cube (421875 = 753).

The spelling of 115421760 in words is "one hundred fifteen million, four hundred twenty-one thousand, seven hundred sixty".