Search a number
-
+
115448040 = 233252373191
BaseRepresentation
bin1101110000110…
…01100011101000
322001020100221100
412320121203220
5214023314130
615242241400
72601202131
oct670314350
9261210840
10115448040
115a192904
12327b6260
131abc2066
1411492c88
15a206c60
hex6e198e8

115448040 has 192 divisors, whose sum is σ = 398960640. Its totient is φ = 28892160.

The previous prime is 115448023. The next prime is 115448089. The reversal of 115448040 is 40844511.

It is a happy number.

115448040 is a `hidden beast` number, since 1 + 1 + 544 + 80 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 115447995 and 115448013.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 604345 + ... + 604535.

It is an arithmetic number, because the mean of its divisors is an integer number (2077920).

Almost surely, 2115448040 is an apocalyptic number.

115448040 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 115448040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199480320).

115448040 is an abundant number, since it is smaller than the sum of its proper divisors (283512600).

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

115448040 is a wasteful number, since it uses less digits than its factorization.

115448040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 115448040 is about 10744.6749601838. The cubic root of 115448040 is about 486.9251290719.

It can be divided in two parts, 1154 and 48040, that added together give a palindrome (49194).

The spelling of 115448040 in words is "one hundred fifteen million, four hundred forty-eight thousand, forty".