Base | Representation |
---|---|
bin | 110010110110… |
… | …111111000100 |
3 | 221002100122100 |
4 | 302312333010 |
5 | 11403114140 |
6 | 1153432100 |
7 | 221216013 |
oct | 62667704 |
9 | 27070570 |
10 | 13332420 |
11 | 7586932 |
12 | 456b630 |
13 | 29ba60a |
14 | 1ab0a7a |
15 | 1285530 |
hex | cb6fc4 |
13332420 has 72 divisors (see below), whose sum is σ = 42830424. Its totient is φ = 3345408.
The previous prime is 13332409. The next prime is 13332427. The reversal of 13332420 is 2423331.
It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 5846724 = 2736^2 + 2418^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 13332393 and 13332402.
It is not an unprimeable number, because it can be changed into a prime (13332427) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882 + ... + 5238.
It is an arithmetic number, because the mean of its divisors is an integer number (594867).
Almost surely, 213332420 is an apocalyptic number.
13332420 is a gapful number since it is divisible by the number (10) 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 13332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415212).
13332420 is an abundant number, since it is smaller than the sum of its proper divisors (29498004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13332420 is a wasteful number, since it uses less digits than its factorization.
13332420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4389 (or 4384 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 13332420 is about 3651.3586512420. The cubic root of 13332420 is about 237.1208057937.
Adding to 13332420 its reverse (2423331), we get a palindrome (15755751).
The spelling of 13332420 in words is "thirteen million, three hundred thirty-two thousand, four hundred twenty".
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