Base | Representation |
---|---|
bin | 101100100110… |
… | …0000000100000 |
3 | 1121222211022221 |
4 | 1121030000200 |
5 | 21441130000 |
6 | 2153040424 |
7 | 402504160 |
oct | 131140040 |
9 | 47884287 |
10 | 23380000 |
11 | 12219816 |
12 | 79b6114 |
13 | 4ac7a27 |
14 | 31685a0 |
15 | 20bc61a |
hex | 164c020 |
23380000 has 120 divisors (see below), whose sum is σ = 66128832. Its totient is φ = 7968000.
The previous prime is 23379997. The next prime is 23380057. The reversal of 23380000 is 8332.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139917 + ... + 140083.
Almost surely, 223380000 is an apocalyptic number.
23380000 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 23380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33064416).
23380000 is an abundant number, since it is smaller than the sum of its proper divisors (42748832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23380000 is an equidigital number, since it uses as much as digits as its factorization.
23380000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 204 (or 181 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 23380000 is about 4835.2869614946. The cubic root of 23380000 is about 285.9443385248.
Adding to 23380000 its reverse (8332), we get a palindrome (23388332).
It can be divided in two parts, 2 and 3380000, that multiplied together give a square (6760000 = 26002).
The spelling of 23380000 in words is "twenty-three million, three hundred eighty thousand".
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