Search a number
-
+
115788820 = 2257827063
BaseRepresentation
bin1101110011011…
…00110000010100
322001212200101211
412321230300110
5214120220240
615253431204
72604121510
oct671546024
9261780354
10115788820
115a3a5944
123293b504
131acb11c4
1411541140
15a272bea
hex6e6cc14

115788820 has 24 divisors (see below), whose sum is σ = 277893504. Its totient is φ = 39698976.

The previous prime is 115788817. The next prime is 115788823. The reversal of 115788820 is 28887511.

115788820 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (115788817) and next prime (115788823).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

115788820 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115788823) 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 7 ways as a sum of consecutive naturals, for example, 413392 + ... + 413671.

It is an arithmetic number, because the mean of its divisors is an integer number (11578896).

Almost surely, 2115788820 is an apocalyptic number.

115788820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115788820 is an abundant number, since it is smaller than the sum of its proper divisors (162104684).

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

115788820 is a wasteful number, since it uses less digits than its factorization.

115788820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827079 (or 827077 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 40.

The square root of 115788820 is about 10760.5213628337. The cubic root of 115788820 is about 487.4037609717.

The spelling of 115788820 in words is "one hundred fifteen million, seven hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 827063 1654126 3308252 4135315 5789441 8270630 11578882 16541260 23157764 28947205 57894410 115788820