Base | Representation |
---|---|
bin | 101011110111… |
… | …1110011010000 |
3 | 1121021122020210 |
4 | 1113233303100 |
5 | 21342033240 |
6 | 2141004120 |
7 | 366342105 |
oct | 127576320 |
9 | 47248223 |
10 | 23002320 |
11 | 11a90a90 |
12 | 7853640 |
13 | 49c4b53 |
14 | 30aaaac |
15 | 2045780 |
hex | 15efcd0 |
23002320 has 80 divisors (see below), whose sum is σ = 77798592. Its totient is φ = 5575680.
The previous prime is 23002267. The next prime is 23002327. The reversal of 23002320 is 2320032.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 23002296 and 23002305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23002327) 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, 1717 + ... + 6996.
Almost surely, 223002320 is an apocalyptic number.
23002320 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 23002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38899296).
23002320 is an abundant number, since it is smaller than the sum of its proper divisors (54796272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23002320 is a wasteful number, since it uses less digits than its factorization.
23002320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8740 (or 8734 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 12.
The square root of 23002320 is about 4796.0733939338. The cubic root of 23002320 is about 284.3962596512.
Adding to 23002320 its reverse (2320032), we get a palindrome (25322352).
The spelling of 23002320 in words is "twenty-three million, two thousand, three hundred twenty".
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