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14041728 = 273317239
BaseRepresentation
bin110101100100…
…001010000000
3222102101122000
4311210022000
512043313403
61220544000
7230231661
oct65441200
928371560
1014041728
117a20838
124852000
132ba841c
141c17368
1513757a3
hexd64280

14041728 has 128 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 4386816.

The previous prime is 14041669. The next prime is 14041751. The reversal of 14041728 is 82714041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58633 + ... + 58871.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 214041728 is an apocalyptic number.

14041728 is a gapful number since it is divisible by the number (18) 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 14041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

14041728 is an abundant number, since it is smaller than the sum of its proper divisors (30022272).

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

14041728 is a wasteful number, since it uses less digits than its factorization.

14041728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 14041728 is about 3747.2293764860. The cubic root of 14041728 is about 241.2534422804.

Adding to 14041728 its reverse (82714041), we get a palindrome (96755769).

The spelling of 14041728 in words is "fourteen million, forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 239 272 288 306 384 408 432 459 478 544 576 612 717 816 864 918 956 1088 1152 1224 1434 1632 1728 1836 1912 2151 2176 2448 2868 3264 3456 3672 3824 4063 4302 4896 5736 6453 6528 7344 7648 8126 8604 9792 11472 12189 12906 14688 15296 16252 17208 19584 22944 24378 25812 29376 30592 32504 34416 36567 45888 48756 51624 58752 65008 68832 73134 91776 97512 103248 109701 130016 137664 146268 195024 206496 219402 260032 275328 292536 390048 412992 438804 520064 585072 780096 825984 877608 1170144 1560192 1755216 2340288 3510432 4680576 7020864 14041728