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13824481 = 113171571
BaseRepresentation
bin110100101111…
…000111100001
3222000100121211
4310233013201
512014340411
61212150121
7225335416
oct64570741
928010554
1013824481
1178925a0
124768341
132b30588
141b9c10d
151331221
hexd2f1e1

13824481 has 16 divisors (see below), whose sum is σ = 15814656. Its totient is φ = 11970000.

The previous prime is 13824479. The next prime is 13824487. The reversal of 13824481 is 18442831.

13824481 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13824481 - 21 = 13824479 is a prime.

It is a super-2 number, since 2×138244812 = 382232549838722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (13824487) 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 15 ways as a sum of consecutive naturals, for example, 23926 + ... + 24496.

It is an arithmetic number, because the mean of its divisors is an integer number (988416).

Almost surely, 213824481 is an apocalyptic number.

13824481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13824481 is a deficient number, since it is larger than the sum of its proper divisors (1990175).

13824481 is a wasteful number, since it uses less digits than its factorization.

13824481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684.

The product of its digits is 6144, while the sum is 31.

The square root of 13824481 is about 3718.1286959975. The cubic root of 13824481 is about 240.0027835325.

The spelling of 13824481 in words is "thirteen million, eight hundred twenty-four thousand, four hundred eighty-one".

Divisors: 1 11 31 71 341 571 781 2201 6281 17701 24211 40541 194711 445951 1256771 13824481