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13911984 = 2432175683
BaseRepresentation
bin110101000100…
…011110110000
3222011210122200
4311010132300
512030140414
61214103200
7226151502
oct65043660
928153580
1013911984
117942309
1247aab00
132b61358
141bc1d72
15134c109
hexd447b0

13911984 has 60 divisors (see below), whose sum is σ = 41231736. Its totient is φ = 4363776.

The previous prime is 13911983. The next prime is 13911991. The reversal of 13911984 is 48911931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13911983) 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 11 ways as a sum of consecutive naturals, for example, 394 + ... + 5289.

Almost surely, 213911984 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 13911984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20615868).

13911984 is an abundant number, since it is smaller than the sum of its proper divisors (27319752).

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

13911984 is a wasteful number, since it uses less digits than its factorization.

13911984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714 (or 5705 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 13911984 is about 3729.8772097751. The cubic root of 13911984 is about 240.5080902588.

It can be divided in two parts, 1391 and 1984, that added together give a cube (3375 = 153).

The spelling of 13911984 in words is "thirteen million, nine hundred eleven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 5683 11366 17049 22732 34098 45464 51147 68196 90928 96611 102294 136392 193222 204588 272784 289833 386444 409176 579666 772888 818352 869499 1159332 1545776 1738998 2318664 3477996 4637328 6955992 13911984