Base | Representation |
---|---|
bin | 101011111000… |
… | …0110111101100 |
3 | 1121021212021000 |
4 | 1113300313230 |
5 | 21342203300 |
6 | 2141040300 |
7 | 366360633 |
oct | 127606754 |
9 | 47255230 |
10 | 23006700 |
11 | 11a94302 |
12 | 7856090 |
13 | 49c6b42 |
14 | 30ac51a |
15 | 2046c00 |
hex | 15f0dec |
23006700 has 72 divisors (see below), whose sum is σ = 73970960. Its totient is φ = 6134400.
The previous prime is 23006651. The next prime is 23006707. The reversal of 23006700 is 760032.
It is a super-4 number, since 4×230067004 (a number of 31 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23006707) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1561 + ... + 6960.
Almost surely, 223006700 is an apocalyptic number.
23006700 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 23006700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36985480).
23006700 is an abundant number, since it is smaller than the sum of its proper divisors (50964260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23006700 is a wasteful number, since it uses less digits than its factorization.
23006700 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8544 (or 8531 counting only the distinct ones).
The product of its (nonzero) digits is 252, while the sum is 18.
The square root of 23006700 is about 4796.5299957365. The cubic root of 23006700 is about 284.4143096647.
Adding to 23006700 its reverse (760032), we get a palindrome (23766732).
The spelling of 23006700 in words is "twenty-three million, six thousand, seven hundred".
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