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14093184 = 27373107
BaseRepresentation
bin110101110000…
…101110000000
3222112000012210
4311300232000
512101440214
61222022120
7230535000
oct65605600
928460183
1014093184
117a56466
124877940
132bc5981
141c2c000
151385b59
hexd70b80

14093184 has 128 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 3988992.

The previous prime is 14093147. The next prime is 14093197. The reversal of 14093184 is 48139041.

It is a happy number.

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

It is a congruent number.

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, 131659 + ... + 131765.

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

Almost surely, 214093184 is an apocalyptic number.

14093184 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 14093184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

14093184 is an abundant number, since it is smaller than the sum of its proper divisors (29970816).

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

14093184 is an equidigital number, since it uses as much as digits as its factorization.

14093184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 14093184 is about 3754.0889707091. The cubic root of 14093184 is about 241.5477746274.

The spelling of 14093184 in words is "fourteen million, ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 107 112 128 147 168 192 196 214 224 294 321 336 343 384 392 428 448 588 642 672 686 749 784 856 896 1029 1176 1284 1344 1372 1498 1568 1712 2058 2247 2352 2568 2688 2744 2996 3136 3424 4116 4494 4704 5136 5243 5488 5992 6272 6848 8232 8988 9408 10272 10486 10976 11984 13696 15729 16464 17976 18816 20544 20972 21952 23968 31458 32928 35952 36701 41088 41944 43904 47936 62916 65856 71904 73402 83888 95872 110103 125832 131712 143808 146804 167776 220206 251664 287616 293608 335552 440412 503328 587216 671104 880824 1006656 1174432 1761648 2013312 2348864 3523296 4697728 7046592 14093184