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13204040 = 235893709
BaseRepresentation
bin110010010111…
…101001001000
3220211211112112
4302113221020
511340012130
61151001452
7220142513
oct62275110
926754475
1013204040
1174a9433
124509288
132974055
141a79d7a
15125c495
hexc97a48

13204040 has 32 divisors (see below), whose sum is σ = 30051000. Its totient is φ = 5220864.

The previous prime is 13204007. The next prime is 13204043. The reversal of 13204040 is 4040231.

It can be written as a sum of positive squares in 4 ways, for example, as 7043716 + 6160324 = 2654^2 + 2482^2 .

13204040 is a modest number, since divided by 4040 gives 1320 as remainder.

It is not an unprimeable number, because it can be changed into a prime (13204043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1706 + ... + 5414.

Almost surely, 213204040 is an apocalyptic number.

13204040 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 13204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025500).

13204040 is an abundant number, since it is smaller than the sum of its proper divisors (16846960).

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

13204040 is a wasteful number, since it uses less digits than its factorization.

13204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 13204040 is about 3633.7363690835. The cubic root of 13204040 is about 236.3572583899.

Adding to 13204040 its reverse (4040231), we get a palindrome (17244271).

The spelling of 13204040 in words is "thirteen million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 3709 7418 14836 18545 29672 37090 74180 148360 330101 660202 1320404 1650505 2640808 3301010 6602020 13204040