Base | Representation |
---|---|
bin | 1001000011010011100000 |
3 | 11110112220200 |
4 | 21003103200 |
5 | 1101412312 |
6 | 122505200 |
7 | 26111610 |
oct | 11032340 |
9 | 4415820 |
10 | 2372832 |
11 | 1380820 |
12 | 965200 |
13 | 651057 |
14 | 45aa40 |
15 | 31d0dc |
hex | 2434e0 |
2372832 has 144 divisors (see below), whose sum is σ = 8491392. Its totient is φ = 610560.
The previous prime is 2372819. The next prime is 2372837. The reversal of 2372832 is 2382732.
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 2372796 and 2372805.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2372837) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22123 + ... + 22229.
It is an arithmetic number, because the mean of its divisors is an integer number (58968).
22372832 is an apocalyptic number.
2372832 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 2372832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696).
2372832 is an abundant number, since it is smaller than the sum of its proper divisors (6118560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2372832 is a wasteful number, since it uses less digits than its factorization.
2372832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 141 (or 130 counting only the distinct ones).
The product of its digits is 4032, while the sum is 27.
The square root of 2372832 is about 1540.3999480654. The cubic root of 2372832 is about 133.3794729206.
The spelling of 2372832 in words is "two million, three hundred seventy-two thousand, eight hundred thirty-two".
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