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13826840 = 235418431
BaseRepresentation
bin110100101111…
…101100011000
3222000110212012
4310233230120
512014424330
61212205052
7225345326
oct64575430
928013765
1013826840
117894345
124769788
132b31681
141b9cd16
151331c95
hexd2fb18

13826840 has 32 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 5395200.

The previous prime is 13826821. The next prime is 13826843. The reversal of 13826840 is 4862831.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13826797 and 13826806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13826843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2576 + ... + 5855.

It is an arithmetic number, because the mean of its divisors is an integer number (996030).

Almost surely, 213826840 is an apocalyptic number.

13826840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13826840 is an abundant number, since it is smaller than the sum of its proper divisors (18046120).

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

13826840 is a wasteful number, since it uses less digits than its factorization.

13826840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483 (or 8479 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 13826840 is about 3718.4459119369. The cubic root of 13826840 is about 240.0164340598.

The spelling of 13826840 in words is "thirteen million, eight hundred twenty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 8431 16862 33724 42155 67448 84310 168620 337240 345671 691342 1382684 1728355 2765368 3456710 6913420 13826840