Base | Representation |
---|---|
bin | 101011111001… |
… | …0011100000000 |
3 | 1121022012001210 |
4 | 1113302130000 |
5 | 21342404440 |
6 | 2141130120 |
7 | 366415434 |
oct | 127623400 |
9 | 47265053 |
10 | 23013120 |
11 | 11a99109 |
12 | 7859940 |
13 | 49c9a40 |
14 | 30b09c4 |
15 | 2048a80 |
hex | 15f2700 |
23013120 has 144 divisors (see below), whose sum is σ = 79323552. Its totient is φ = 5652480.
The previous prime is 23013119. The next prime is 23013131. The reversal of 23013120 is 2131032.
It is a happy number.
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 = 23013096 and 23013105.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49690 + ... + 50150.
It is an arithmetic number, because the mean of its divisors is an integer number (550858).
Almost surely, 223013120 is an apocalyptic number.
23013120 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 23013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39661776).
23013120 is an abundant number, since it is smaller than the sum of its proper divisors (56310432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23013120 is a wasteful number, since it uses less digits than its factorization.
23013120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 498 (or 484 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 23013120 is about 4797.1991828566. The cubic root of 23013120 is about 284.4407623945.
Adding to 23013120 its reverse (2131032), we get a palindrome (25144152).
The spelling of 23013120 in words is "twenty-three million, thirteen thousand, one hundred twenty".
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