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13000020 = 22351119697
BaseRepresentation
bin110001100101…
…110101010100
3220110110200020
4301211311110
511312000040
61142345140
7215332635
oct61456524
926413606
1013000020
11737a120
12442b1b0
132902227
141a2588c
15121bcd0
hexc65d54

13000020 has 48 divisors (see below), whose sum is σ = 39711168. Its totient is φ = 3151360.

The previous prime is 12999997. The next prime is 13000027. The reversal of 13000020 is 2000031.

13000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 12999972 and 13000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000027) 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, 9189 + ... + 10508.

It is an arithmetic number, because the mean of its divisors is an integer number (827316).

Almost surely, 213000020 is an apocalyptic number.

13000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000020 is an abundant number, since it is smaller than the sum of its proper divisors (26711148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13000020 is a wasteful number, since it uses less digits than its factorization.

13000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19720 (or 19718 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 13000020 is about 3605.5540489639. The cubic root of 13000020 is about 235.1335893533.

Adding to 13000020 its reverse (2000031), we get a palindrome (15000051).

The spelling of 13000020 in words is "thirteen million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 19697 39394 59091 78788 98485 118182 196970 216667 236364 295455 393940 433334 590910 650001 866668 1083335 1181820 1300002 2166670 2600004 3250005 4333340 6500010 13000020