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13408040 = 235675003
BaseRepresentation
bin110011001001…
…011100101000
3221020012101002
4303021130220
511413024130
61155214132
7221652332
oct63113450
927205332
1013408040
117628728
1245a7348
132a15b69
141ad0452
15129cb45
hexcc9728

13408040 has 32 divisors (see below), whose sum is σ = 30624480. Its totient is φ = 5282112.

The previous prime is 13408033. The next prime is 13408051. The reversal of 13408040 is 4080431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 179 + ... + 5181.

It is an arithmetic number, because the mean of its divisors is an integer number (957015).

Almost surely, 213408040 is an apocalyptic number.

13408040 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 13408040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15312240).

13408040 is an abundant number, since it is smaller than the sum of its proper divisors (17216440).

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

13408040 is a wasteful number, since it uses less digits than its factorization.

13408040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 13408040 is about 3661.6990591800. The cubic root of 13408040 is about 237.5682684633.

Adding to 13408040 its reverse (4080431), we get a palindrome (17488471).

The spelling of 13408040 in words is "thirteen million, four hundred eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 5003 10006 20012 25015 40024 50030 100060 200120 335201 670402 1340804 1676005 2681608 3352010 6704020 13408040