Base | Representation |
---|---|
bin | 101011111000… |
… | …1111011001100 |
3 | 1121022002012000 |
4 | 1113301323030 |
5 | 21342323040 |
6 | 2141112300 |
7 | 366406344 |
oct | 127617314 |
9 | 47262160 |
10 | 23011020 |
11 | 11a9757a |
12 | 7858690 |
13 | 49c8ab6 |
14 | 30add24 |
15 | 2048130 |
hex | 15f1ecc |
23011020 has 96 divisors (see below), whose sum is σ = 73328640. Its totient is φ = 5987520.
The previous prime is 23010997. The next prime is 23011031. The reversal of 23011020 is 2011032.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 23010993 and 23011011.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22725 + ... + 23715.
It is an arithmetic number, because the mean of its divisors is an integer number (763840).
Almost surely, 223011020 is an apocalyptic number.
23011020 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 23011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36664320).
23011020 is an abundant number, since it is smaller than the sum of its proper divisors (50317620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23011020 is a wasteful number, since it uses less digits than its factorization.
23011020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1052 (or 1044 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 23011020 is about 4796.9803001472. The cubic root of 23011020 is about 284.4321101739.
Adding to 23011020 its product of nonzero digits (12), we get a palindrome (23011032).
Adding to 23011020 its reverse (2011032), we get a palindrome (25022052).
It can be divided in two parts, 2301 and 1020, that added together give a triangular number (3321 = T81).
The spelling of 23011020 in words is "twenty-three million, eleven thousand, twenty".
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