Base | Representation |
---|---|
bin | 101101001101… |
… | …0001001001000 |
3 | 1122121002100021 |
4 | 1122122021020 |
5 | 22031400130 |
6 | 2203550224 |
7 | 405306220 |
oct | 132321110 |
9 | 48532307 |
10 | 23700040 |
11 | 12418211 |
12 | 7b2b374 |
13 | 4baa5c0 |
14 | 320d080 |
15 | 213237a |
hex | 169a248 |
23700040 has 128 divisors (see below), whose sum is σ = 69672960. Its totient is φ = 7041024.
The previous prime is 23700031. The next prime is 23700059. The reversal of 23700040 is 4000732.
23700040 = T274 + T275 + ... + T545.
It is a junction number, because it is equal to n+sod(n) for n = 23699987 and 23700023.
It is a congruent number.
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, 61689 + ... + 62071.
It is an arithmetic number, because the mean of its divisors is an integer number (544320).
Almost surely, 223700040 is an apocalyptic number.
23700040 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 23700040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).
23700040 is an abundant number, since it is smaller than the sum of its proper divisors (45972920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23700040 is a wasteful number, since it uses less digits than its factorization.
23700040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 431 (or 427 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 16.
The square root of 23700040 is about 4868.2686860937. The cubic root of 23700040 is about 287.2431581389.
Adding to 23700040 its reverse (4000732), we get a palindrome (27700772).
The spelling of 23700040 in words is "twenty-three million, seven hundred thousand, forty".
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