Base | Representation |
---|---|
bin | 110001100101… |
… | …111110101100 |
3 | 220110111111110 |
4 | 301211332230 |
5 | 11312004440 |
6 | 1142352020 |
7 | 215334453 |
oct | 61457654 |
9 | 26414443 |
10 | 13000620 |
11 | 737a616 |
12 | 442b610 |
13 | 2902599 |
14 | 1a25b9a |
15 | 121c080 |
hex | c65fac |
13000620 has 48 divisors (see below), whose sum is σ = 37255680. Its totient is φ = 3385536.
The previous prime is 13000601. The next prime is 13000627. The reversal of 13000620 is 2600031.
It is a super-2 number, since 2×130006202 = 338032240768800, which contains 22 as substring.
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 = 13000596 and 13000605.
It is not an unprimeable number, because it can be changed into a prime (13000627) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61 + ... + 5099.
It is an arithmetic number, because the mean of its divisors is an integer number (776160).
Almost surely, 213000620 is an apocalyptic number.
13000620 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 13000620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).
13000620 is an abundant number, since it is smaller than the sum of its proper divisors (24255060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13000620 is a wasteful number, since it uses less digits than its factorization.
13000620 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5094 (or 5092 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 13000620 is about 3605.6372529693. The cubic root of 13000620 is about 235.1372067319.
Adding to 13000620 its reverse (2600031), we get a palindrome (15600651).
The spelling of 13000620 in words is "thirteen million, six hundred twenty", and thus it is an aban number.
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