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13717984 = 257471303
BaseRepresentation
bin110100010101…
…000111100000
3221210221112111
4310111013200
512002433414
61210005104
7224413060
oct64250740
927727474
1013717984
11781a585
124716794
132ac3c67
141b713a0
15130e8c4
hexd151e0

13717984 has 48 divisors (see below), whose sum is σ = 31546368. Its totient is φ = 5749632.

The previous prime is 13717973. The next prime is 13717993. The reversal of 13717984 is 48971731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9877 + ... + 11179.

It is an arithmetic number, because the mean of its divisors is an integer number (657216).

Almost surely, 213717984 is an apocalyptic number.

13717984 is a gapful number since it is divisible by the number (14) 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 13717984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15773184).

13717984 is an abundant number, since it is smaller than the sum of its proper divisors (17828384).

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

13717984 is a wasteful number, since it uses less digits than its factorization.

13717984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1359 counting only the distinct ones).

The product of its digits is 42336, while the sum is 40.

The square root of 13717984 is about 3703.7796910724. The cubic root of 13717984 is about 239.3849064110.

The spelling of 13717984 in words is "thirteen million, seven hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1303 1316 1504 2606 2632 5212 5264 9121 10424 10528 18242 20848 36484 41696 61241 72968 122482 145936 244964 291872 428687 489928 857374 979856 1714748 1959712 3429496 6858992 13717984