Base | Representation |
---|---|
bin | 1001000100110101111100 |
3 | 11110212120000 |
4 | 21010311330 |
5 | 1102113012 |
6 | 122554300 |
7 | 26136150 |
oct | 11046574 |
9 | 4425500 |
10 | 2379132 |
11 | 1385528 |
12 | 968990 |
13 | 653b92 |
14 | 45d060 |
15 | 31eddc |
hex | 244d7c |
2379132 has 60 divisors (see below), whose sum is σ = 7114800. Its totient is φ = 679104.
The previous prime is 2379079. The next prime is 2379149. The reversal of 2379132 is 2319732.
2379132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 2379096 and 2379105.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1744 + ... + 2792.
It is an arithmetic number, because the mean of its divisors is an integer number (118580).
22379132 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2379132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557400).
2379132 is an abundant number, since it is smaller than the sum of its proper divisors (4735668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2379132 is a wasteful number, since it uses less digits than its factorization.
2379132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1072 (or 1061 counting only the distinct ones).
The product of its digits is 2268, while the sum is 27.
The square root of 2379132 is about 1542.4435159836. The cubic root of 2379132 is about 133.4974118928.
It can be divided in two parts, 2379 and 132, that multiplied together give a triangular number (314028 = T792).
The spelling of 2379132 in words is "two million, three hundred seventy-nine thousand, one hundred thirty-two".
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