Base | Representation |
---|---|
bin | 101101010000… |
… | …1010111100000 |
3 | 1122122120221021 |
4 | 1122201113200 |
5 | 22033322012 |
6 | 2204335224 |
7 | 405461413 |
oct | 132412740 |
9 | 48576837 |
10 | 23729632 |
11 | 12438473 |
12 | 7b44514 |
13 | 4bbac04 |
14 | 3219b7a |
15 | 213b007 |
hex | 16a15e0 |
23729632 has 48 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 10869120.
The previous prime is 23729621. The next prime is 23729639. The reversal of 23729632 is 23692732.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23729639) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 18219 + ... + 19477.
It is an arithmetic number, because the mean of its divisors is an integer number (1058400).
Almost surely, 223729632 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 23729632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).
23729632 is an abundant number, since it is smaller than the sum of its proper divisors (27073568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23729632 is a wasteful number, since it uses less digits than its factorization.
23729632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1319 (or 1311 counting only the distinct ones).
The product of its digits is 27216, while the sum is 34.
The square root of 23729632 is about 4871.3070114703. The cubic root of 23729632 is about 287.3626595439.
The spelling of 23729632 in words is "twenty-three million, seven hundred twenty-nine thousand, six hundred thirty-two".
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