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13000620 = 2235435039
BaseRepresentation
bin110001100101…
…111110101100
3220110111111110
4301211332230
511312004440
61142352020
7215334453
oct61457654
926414443
1013000620
11737a616
12442b610
132902599
141a25b9a
15121c080
hexc65fac

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.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 5039 10078 15117 20156 25195 30234 50390 60468 75585 100780 151170 216677 302340 433354 650031 866708 1083385 1300062 2166770 2600124 3250155 4333540 6500310 13000620