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14075208 = 2334729107
BaseRepresentation
bin110101101100…
…010101001000
3222111002120000
4311230111020
512100401313
61221403000
7230431410
oct65542510
928432500
1014075208
117a43a04
124869460
132bba734
141c25640
151380673
hexd6c548

14075208 has 160 divisors (see below), whose sum is σ = 47044800. Its totient is φ = 3846528.

The previous prime is 14075189. The next prime is 14075221. The reversal of 14075208 is 80257041.

It is a super-2 number, since 2×140752082 = 396222960486528, which contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 131491 + ... + 131597.

It is an arithmetic number, because the mean of its divisors is an integer number (294030).

Almost surely, 214075208 is an apocalyptic number.

14075208 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 14075208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522400).

14075208 is an abundant number, since it is smaller than the sum of its proper divisors (32969592).

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

14075208 is a wasteful number, since it uses less digits than its factorization.

14075208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 14075208 is about 3751.6940173740. The cubic root of 14075208 is about 241.4450320481.

The spelling of 14075208 in words is "fourteen million, seventy-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 107 108 116 126 162 168 174 189 203 214 216 232 252 261 321 324 348 378 406 428 504 522 567 609 642 648 696 749 756 783 812 856 963 1044 1134 1218 1284 1498 1512 1566 1624 1827 1926 2088 2247 2268 2349 2436 2568 2889 2996 3103 3132 3654 3852 4494 4536 4698 4872 5481 5778 5992 6206 6264 6741 7308 7704 8667 8988 9309 9396 10962 11556 12412 13482 14616 16443 17334 17976 18618 18792 20223 21721 21924 23112 24824 26964 27927 32886 34668 37236 40446 43442 43848 53928 55854 60669 65163 65772 69336 74472 80892 83781 86884 111708 121338 130326 131544 161784 167562 173768 195489 223416 242676 251343 260652 335124 390978 485352 502686 521304 586467 670248 781956 1005372 1172934 1563912 1759401 2010744 2345868 3518802 4691736 7037604 14075208