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13204020 = 2235359613
BaseRepresentation
bin110010010111…
…101000110100
3220211211111210
4302113220310
511340012040
61151001420
7220142454
oct62275064
926754453
1013204020
1174a9415
124509270
13297403b
141a79d64
15125c480
hexc97a34

13204020 has 48 divisors (see below), whose sum is σ = 37134720. Its totient is φ = 3505536.

The previous prime is 13204007. The next prime is 13204043. The reversal of 13204020 is 2040231.

13204020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132040202 = 348692288320800, 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 = 13203987 and 13204005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21234 + ... + 21846.

It is an arithmetic number, because the mean of its divisors is an integer number (773640).

Almost surely, 213204020 is an apocalyptic number.

13204020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13204020 is an abundant number, since it is smaller than the sum of its proper divisors (23930700).

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

13204020 is a wasteful number, since it uses less digits than its factorization.

13204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13204020 is about 3633.7336170941. The cubic root of 13204020 is about 236.3571390540.

Adding to 13204020 its reverse (2040231), we get a palindrome (15244251).

The spelling of 13204020 in words is "thirteen million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 359 613 718 1077 1226 1436 1795 1839 2154 2452 3065 3590 3678 4308 5385 6130 7180 7356 9195 10770 12260 18390 21540 36780 220067 440134 660201 880268 1100335 1320402 2200670 2640804 3301005 4401340 6602010 13204020