Base | Representation |
---|---|
bin | 101100010111… |
… | …1100110010000 |
3 | 1121202220201000 |
4 | 1120233212100 |
5 | 21423414012 |
6 | 2150342000 |
7 | 401511000 |
oct | 130574620 |
9 | 47686630 |
10 | 23263632 |
11 | 1214a347 |
12 | 795a900 |
13 | 4a86a82 |
14 | 3138000 |
15 | 2097ddc |
hex | 162f990 |
23263632 has 160 divisors (see below), whose sum is σ = 78368000. Its totient is φ = 6604416.
The previous prime is 23263627. The next prime is 23263651. The reversal of 23263632 is 23636232.
23263632 is a `hidden beast` number, since 2 + 3 + 26 + 3 + 632 = 666.
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.
It is a junction number, because it is equal to n+sod(n) for n = 23263596 and 23263605.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148098 + ... + 148254.
It is an arithmetic number, because the mean of its divisors is an integer number (489800).
Almost surely, 223263632 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 23263632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184000).
23263632 is an abundant number, since it is smaller than the sum of its proper divisors (55104368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23263632 is a wasteful number, since it uses less digits than its factorization.
23263632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 195 (or 169 counting only the distinct ones).
The product of its digits is 7776, while the sum is 27.
The square root of 23263632 is about 4823.2387459051. The cubic root of 23263632 is about 285.4691442061.
Adding to 23263632 its reverse (23636232), we get a palindrome (46899864).
The spelling of 23263632 in words is "twenty-three million, two hundred sixty-three thousand, six hundred thirty-two".
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