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13804938 = 233759619
BaseRepresentation
bin110100101010…
…010110001010
3221222100211000
4310222112022
512013224223
61211515430
7225224430
oct64522612
927870730
1013804938
117879944
124758b76
132b24704
141b94d50
15132a543
hexd2a58a

13804938 has 64 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 3871152.

The previous prime is 13804933. The next prime is 13804961. The reversal of 13804938 is 83940831.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13804933) 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 31 ways as a sum of consecutive naturals, for example, 21993 + ... + 22611.

It is an arithmetic number, because the mean of its divisors is an integer number (558000).

Almost surely, 213804938 is an apocalyptic number.

13804938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13804938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

13804938 is an abundant number, since it is smaller than the sum of its proper divisors (21907062).

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

13804938 is a wasteful number, since it uses less digits than its factorization.

13804938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 13804938 is about 3715.4996972144. The cubic root of 13804938 is about 239.8896367576.

The spelling of 13804938 in words is "thirteen million, eight hundred four thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 118 126 177 189 354 378 413 531 619 826 1062 1238 1239 1593 1857 2478 3186 3714 3717 4333 5571 7434 8666 11142 11151 12999 16713 22302 25998 33426 36521 38997 73042 77994 109563 116991 219126 233982 255647 328689 511294 657378 766941 986067 1533882 1972134 2300823 4601646 6902469 13804938