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12704020 = 2257103881
BaseRepresentation
bin110000011101…
…100100010100
3212220102122021
4300131210110
511223012040
61132142524
7212660650
oct60354424
925812567
1012704020
11719779a
124307a44
13282a594
141989a60
1511ae24a
hexc1d914

12704020 has 48 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 4308480.

The previous prime is 12704009. The next prime is 12704023. The reversal of 12704020 is 2040721.

It is a super-2 number, since 2×127040202 = 322784248320800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12703985 and 12704003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12704023) 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, 13980 + ... + 14860.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 212704020 is an apocalyptic number.

12704020 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 12704020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

12704020 is an abundant number, since it is smaller than the sum of its proper divisors (18116588).

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

12704020 is a wasteful number, since it uses less digits than its factorization.

12704020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 12704020 is about 3564.2699112160. The cubic root of 12704020 is about 233.3352698252.

Adding to 12704020 its reverse (2040721), we get a palindrome (14744741).

The spelling of 12704020 in words is "twelve million, seven hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 881 1030 1442 1762 2060 2884 3524 3605 4405 6167 7210 8810 12334 14420 17620 24668 30835 61670 90743 123340 181486 362972 453715 635201 907430 1270402 1814860 2540804 3176005 6352010 12704020