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13685984 = 2513167197
BaseRepresentation
bin110100001101…
…010011100000
3221202022122022
4310031103200
512000422414
61205201012
7224220554
oct64152340
927668568
1013685984
1177a8534
124700168
132ab2520
141b63864
15130518e
hexd0d4e0

13685984 has 48 divisors (see below), whose sum is σ = 29338848. Its totient is φ = 6246912.

The previous prime is 13685981. The next prime is 13685993. The reversal of 13685984 is 48958631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13685981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69374 + ... + 69570.

It is an arithmetic number, because the mean of its divisors is an integer number (611226).

Almost surely, 213685984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13685984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669424).

13685984 is an abundant number, since it is smaller than the sum of its proper divisors (15652864).

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

13685984 is a wasteful number, since it uses less digits than its factorization.

13685984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 379 counting only the distinct ones).

The product of its digits is 207360, while the sum is 44.

The square root of 13685984 is about 3699.4572574906. The cubic root of 13685984 is about 239.1986234228.

The spelling of 13685984 in words is "thirteen million, six hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 167 197 208 334 394 416 668 788 1336 1576 2171 2561 2672 3152 4342 5122 5344 6304 8684 10244 17368 20488 32899 34736 40976 65798 69472 81952 131596 263192 427687 526384 855374 1052768 1710748 3421496 6842992 13685984