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13986576 = 24322341103
BaseRepresentation
bin110101010110…
…101100010000
3222022120222100
4311112230100
512040032301
61215440400
7226612122
oct65265420
928276870
1013986576
11799335a
124826100
132b892a6
141c01212
151364286
hexd56b10

13986576 has 120 divisors (see below), whose sum is σ = 42247296. Its totient is φ = 4308480.

The previous prime is 13986571. The next prime is 13986587. The reversal of 13986576 is 67568931.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13986571) 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 23 ways as a sum of consecutive naturals, for example, 135741 + ... + 135843.

Almost surely, 213986576 is an apocalyptic number.

13986576 is a gapful number since it is divisible by the number (16) 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 13986576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123648).

13986576 is an abundant number, since it is smaller than the sum of its proper divisors (28260720).

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

13986576 is a wasteful number, since it uses less digits than its factorization.

13986576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 13986576 is about 3739.8630990987. The cubic root of 13986576 is about 240.9371690458.

The spelling of 13986576 in words is "thirteen million, nine hundred eighty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 41 46 48 69 72 82 92 103 123 138 144 164 184 206 207 246 276 309 328 368 369 412 414 492 552 618 656 738 824 828 927 943 984 1104 1236 1476 1648 1656 1854 1886 1968 2369 2472 2829 2952 3312 3708 3772 4223 4738 4944 5658 5904 7107 7416 7544 8446 8487 9476 11316 12669 14214 14832 15088 16892 16974 18952 21321 22632 25338 28428 33784 33948 37904 38007 42642 45264 50676 56856 67568 67896 76014 85284 97129 101352 113712 135792 152028 170568 194258 202704 291387 304056 341136 388516 582774 608112 777032 874161 1165548 1554064 1748322 2331096 3496644 4662192 6993288 13986576