Base | Representation |
---|---|
bin | 101011111001… |
… | …0110101000000 |
3 | 1121022021021001 |
4 | 1113302311000 |
5 | 21342432340 |
6 | 2141141344 |
7 | 366423211 |
oct | 127626500 |
9 | 47267231 |
10 | 23014720 |
11 | 11a9a333 |
12 | 785a854 |
13 | 49ca6a1 |
14 | 30b1408 |
15 | 204929a |
hex | 15f2d40 |
23014720 has 112 divisors (see below), whose sum is σ = 59253120. Its totient is φ = 8493056.
The previous prime is 23014711. The next prime is 23014723. The reversal of 23014720 is 2741032.
23014720 is a nontrivial binomial coefficient, being equal to C(6785, 2).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23014723) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390051 + ... + 390109.
Almost surely, 223014720 is an apocalyptic number.
23014720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
23014720 is the 6784-th triangular number.
23014720 is the 2262-nd centered nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29626560).
23014720 is an abundant number, since it is smaller than the sum of its proper divisors (36238400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23014720 is a wasteful number, since it uses less digits than its factorization.
23014720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 152 (or 142 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 19.
The square root of 23014720 is about 4797.3659439321. The cubic root of 23014720 is about 284.4473542092.
Adding to 23014720 its reverse (2741032), we get a palindrome (25755752).
It can be divided in two parts, 2301 and 4720, that added together give a triangular number (7021 = T118).
The spelling of 23014720 in words is "twenty-three million, fourteen thousand, seven hundred twenty".
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