Base | Representation |
---|---|
bin | 101011111010… |
… | …1000000000100 |
3 | 1121022201110200 |
4 | 1113311000010 |
5 | 21343223440 |
6 | 2141250500 |
7 | 366461154 |
oct | 127650004 |
9 | 47281420 |
10 | 23023620 |
11 | 11aa5a94 |
12 | 7863a30 |
13 | 4a01759 |
14 | 30b4764 |
15 | 204bc30 |
hex | 15f5004 |
23023620 has 72 divisors (see below), whose sum is σ = 71746584. Its totient is φ = 5971968.
The previous prime is 23023613. The next prime is 23023633. The reversal of 23023620 is 2632032.
23023620 is a `hidden beast` number, since 2 + 302 + 362 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 21958596 = 1032^2 + 4686^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 23023593 and 23023602.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4932 + ... + 8388.
Almost surely, 223023620 is an apocalyptic number.
23023620 is a gapful number since it is divisible by the number (20) 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 23023620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35873292).
23023620 is an abundant number, since it is smaller than the sum of its proper divisors (48722964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23023620 is a wasteful number, since it uses less digits than its factorization.
23023620 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3509 (or 3504 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 23023620 is about 4798.2934466329. The cubic root of 23023620 is about 284.4840156038.
Adding to 23023620 its reverse (2632032), we get a palindrome (25655652).
The spelling of 23023620 in words is "twenty-three million, twenty-three thousand, six hundred twenty".
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