Base | Representation |
---|---|
bin | 101100001111… |
… | …0011110110000 |
3 | 1121122100112021 |
4 | 1120132132300 |
5 | 21414143040 |
6 | 2145041224 |
7 | 401066410 |
oct | 130363660 |
9 | 47570467 |
10 | 23193520 |
11 | 121016a9 |
12 | 7926214 |
13 | 4a60b9c |
14 | 311a640 |
15 | 208224a |
hex | 161e7b0 |
23193520 has 80 divisors (see below), whose sum is σ = 62496000. Its totient is φ = 7840512.
The previous prime is 23193503. The next prime is 23193523. The reversal of 23193520 is 2539132.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (23193523) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46231 + ... + 46729.
It is an arithmetic number, because the mean of its divisors is an integer number (781200).
Almost surely, 223193520 is an apocalyptic number.
23193520 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 23193520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248000).
23193520 is an abundant number, since it is smaller than the sum of its proper divisors (39302480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23193520 is a wasteful number, since it uses less digits than its factorization.
23193520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 602 (or 596 counting only the distinct ones).
The product of its (nonzero) digits is 1620, while the sum is 25.
The square root of 23193520 is about 4815.9651161527. The cubic root of 23193520 is about 285.1820730490.
The spelling of 23193520 in words is "twenty-three million, one hundred ninety-three thousand, five hundred twenty".
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