| Base | Representation |
|---|---|
| bin | 101100111000… |
| … | …1000111100000 |
| 3 | 1122021112211120 |
| 4 | 1121301013200 |
| 5 | 22011011000 |
| 6 | 2200212240 |
| 7 | 404006262 |
| oct | 131610740 |
| 9 | 48245746 |
| 10 | 23532000 |
| 11 | 12312a38 |
| 12 | 7a6a080 |
| 13 | 4b4bc7b |
| 14 | 31a7b32 |
| 15 | 20ec6a0 |
| hex | 16711e0 |
23532000 has 192 divisors, whose sum is σ = 80668224. Its totient is φ = 5990400.
The previous prime is 23531999. The next prime is 23532001. The reversal of 23532000 is 23532.
It is an interprime number because it is at equal distance from previous prime (23531999) and next prime (23532001).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23532001) 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 31 ways as a sum of consecutive naturals, for example, 443974 + ... + 444026.
It is an arithmetic number, because the mean of its divisors is an integer number (420147).
Almost surely, 223532000 is an apocalyptic number.
23532000 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 23532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40334112).
23532000 is an abundant number, since it is smaller than the sum of its proper divisors (57136224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23532000 is a wasteful number, since it uses less digits than its factorization.
23532000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 118 (or 100 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 15.
The square root of 23532000 is about 4850.9792825779. The cubic root of 23532000 is about 286.5626688440.
Adding to 23532000 its reverse (23532), we get a palindrome (23555532).
23532000 divided by its reverse (23532) gives a cube (1000 = 103).
The spelling of 23532000 in words is "twenty-three million, five hundred thirty-two thousand".
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