Base | Representation |
---|---|
bin | 111101110000011010000 |
3 | 10210210220100 |
4 | 13232003100 |
5 | 1004224012 |
6 | 111212400 |
7 | 23125542 |
oct | 7560320 |
9 | 3723810 |
10 | 2023632 |
11 | 1162426 |
12 | 817100 |
13 | 55b120 |
14 | 3a9692 |
15 | 29e8dc |
hex | 1ee0d0 |
2023632 has 120 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 582912.
The previous prime is 2023621. The next prime is 2023639. The reversal of 2023632 is 2363202.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2023639) 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, 43033 + ... + 43079.
22023632 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 2023632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).
2023632 is an abundant number, since it is smaller than the sum of its proper divisors (4475952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023632 is a wasteful number, since it uses less digits than its factorization.
2023632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 97 (or 88 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 2023632 is about 1422.5441996648. The cubic root of 2023632 is about 126.4864040964.
Adding to 2023632 its reverse (2363202), we get a palindrome (4386834).
The spelling of 2023632 in words is "two million, twenty-three thousand, six hundred thirty-two".
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