Search a number
-
+
115444332 = 22331517079
BaseRepresentation
bin1101110000110…
…00101001101100
322001020011212000
412320120221230
5214023204312
615242212300
72601155253
oct670305154
9261204760
10115444332
115a190043
12327b4090
131abc0473
141149179a
15a205adc
hex6e18a6c

115444332 has 48 divisors (see below), whose sum is σ = 301324800. Its totient is φ = 38221200.

The previous prime is 115444321. The next prime is 115444339. The reversal of 115444332 is 233444511.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 115444296 and 115444305.

It is not an unprimeable number, because it can be changed into a prime (115444339) 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 15 ways as a sum of consecutive naturals, for example, 12769 + ... + 19847.

It is an arithmetic number, because the mean of its divisors is an integer number (6277600).

Almost surely, 2115444332 is an apocalyptic number.

115444332 is a gapful number since it is divisible by the number (12) 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 115444332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150662400).

115444332 is an abundant number, since it is smaller than the sum of its proper divisors (185880468).

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

115444332 is a wasteful number, since it uses less digits than its factorization.

115444332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243 (or 7235 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 115444332 is about 10744.5024082086. The cubic root of 115444332 is about 486.9199159396.

Adding to 115444332 its reverse (233444511), we get a palindrome (348888843).

It can be divided in two parts, 11544 and 4332, that added together give a square (15876 = 1262).

The spelling of 115444332 in words is "one hundred fifteen million, four hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 453 604 906 1359 1812 2718 4077 5436 7079 8154 14158 16308 21237 28316 42474 63711 84948 127422 191133 254844 382266 764532 1068929 2137858 3206787 4275716 6413574 9620361 12827148 19240722 28861083 38481444 57722166 115444332