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13989024 = 25357257
BaseRepresentation
bin110101010111…
…010010100000
3222022201100000
4311113102200
512040122044
61215500000
7226622220
oct65272240
928281300
1013989024
117995185
124827600
132b8a43a
141c02080
151364d69
hexd574a0

13989024 has 144 divisors (see below), whose sum is σ = 47331648. Its totient is φ = 3981312.

The previous prime is 13989007. The next prime is 13989047. The reversal of 13989024 is 42098931.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13989024.

It is an unprimeable number.

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, 54304 + ... + 54560.

It is an arithmetic number, because the mean of its divisors is an integer number (328692).

Almost surely, 213989024 is an apocalyptic number.

13989024 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 13989024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23665824).

13989024 is an abundant number, since it is smaller than the sum of its proper divisors (33342624).

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

13989024 is an equidigital number, since it uses as much as digits as its factorization.

13989024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 13989024 is about 3740.1903694866. The cubic root of 13989024 is about 240.9512248991.

The spelling of 13989024 in words is "thirteen million, nine hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 257 288 324 336 378 432 486 504 514 567 648 672 756 771 864 972 1008 1028 1134 1296 1512 1542 1701 1799 1944 2016 2056 2268 2313 2592 3024 3084 3402 3598 3888 4112 4536 4626 5397 6048 6168 6804 6939 7196 7776 8224 9072 9252 10794 12336 13608 13878 14392 16191 18144 18504 20817 21588 24672 27216 27756 28784 32382 37008 41634 43176 48573 54432 55512 57568 62451 64764 74016 83268 86352 97146 111024 124902 129528 145719 166536 172704 194292 222048 249804 259056 291438 333072 388584 437157 499608 518112 582876 666144 777168 874314 999216 1165752 1554336 1748628 1998432 2331504 3497256 4663008 6994512 13989024