Base | Representation |
---|---|
bin | 1000001000011111011100 |
3 | 11000022110110 |
4 | 20020133130 |
5 | 1021210212 |
6 | 113410020 |
7 | 24056355 |
oct | 10103734 |
9 | 4008413 |
10 | 2131932 |
11 | 1226830 |
12 | 869910 |
13 | 5984ca |
14 | 3d6d2c |
15 | 2c1a3c |
hex | 2087dc |
2131932 has 48 divisors (see below), whose sum is σ = 5612544. Its totient is φ = 624000.
The previous prime is 2131907. The next prime is 2131937. The reversal of 2131932 is 2391312.
It is a happy number.
It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 2131899 and 2131908.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2131937) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3832 + ... + 4352.
It is an arithmetic number, because the mean of its divisors is an integer number (116928).
22131932 is an apocalyptic number.
2131932 is a gapful number since it is divisible by the number (22) 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 2131932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806272).
2131932 is an abundant number, since it is smaller than the sum of its proper divisors (3480612).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131932 is a wasteful number, since it uses less digits than its factorization.
2131932 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 570 (or 568 counting only the distinct ones).
The product of its digits is 324, while the sum is 21.
The square root of 2131932 is about 1460.1136942033. The cubic root of 2131932 is about 128.7037248472.
It can be divided in two parts, 213 and 1932, that added together give a triangular number (2145 = T65).
The spelling of 2131932 in words is "two million, one hundred thirty-one thousand, nine hundred thirty-two".
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