| Base | Representation |
|---|---|
| bin | 101011111000… |
| … | …0111000101000 |
| 3 | 1121021212100020 |
| 4 | 1113300320220 |
| 5 | 21342204020 |
| 6 | 2141040440 |
| 7 | 366361050 |
| oct | 127607050 |
| 9 | 47255306 |
| 10 | 23006760 |
| 11 | 11a94357 |
| 12 | 7856120 |
| 13 | 49c6b8a |
| 14 | 30ac560 |
| 15 | 2046c40 |
| hex | 15f0e28 |
23006760 has 128 divisors (see below), whose sum is σ = 80352000. Its totient is φ = 5160960.
The previous prime is 23006759. The next prime is 23006761. The reversal of 23006760 is 6760032.
It is an interprime number because it is at equal distance from previous prime (23006759) and next prime (23006761).
It is a super-2 number, since 2×230067602 = 1058622011395200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 23006760.
It is not an unprimeable number, because it can be changed into a prime (23006761) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51016 + ... + 51464.
It is an arithmetic number, because the mean of its divisors is an integer number (627750).
Almost surely, 223006760 is an apocalyptic number.
23006760 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 23006760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176000).
23006760 is an abundant number, since it is smaller than the sum of its proper divisors (57345240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23006760 is a wasteful number, since it uses less digits than its factorization.
23006760 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 531 (or 527 counting only the distinct ones).
The product of its (nonzero) digits is 1512, while the sum is 24.
The square root of 23006760 is about 4796.5362502539. The cubic root of 23006760 is about 284.4145569093.
Adding to 23006760 its reverse (6760032), we get a palindrome (29766792).
The spelling of 23006760 in words is "twenty-three million, six thousand, seven hundred sixty".
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