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14113008 = 2433713359
BaseRepresentation
bin110101110101…
…100011110000
3222120000102000
4311311203300
512103104013
61222254000
7230646540
oct65654360
928500360
1014113008
117a6a348
124887300
132c019c0
141c35320
15138b973
hexd758f0

14113008 has 160 divisors (see below), whose sum is σ = 49996800. Its totient is φ = 3711744.

The previous prime is 14112971. The next prime is 14113013. The reversal of 14113008 is 80031141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39133 + ... + 39491.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 214113008 is an apocalyptic number.

14113008 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 14113008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

14113008 is an abundant number, since it is smaller than the sum of its proper divisors (35883792).

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

14113008 is a wasteful number, since it uses less digits than its factorization.

14113008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 14113008 is about 3756.7283638826. The cubic root of 14113008 is about 241.6609782781.

Adding to 14113008 its reverse (80031141), we get a palindrome (94144149).

The spelling of 14113008 in words is "fourteen million, one hundred thirteen thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 359 364 378 432 468 504 546 624 702 718 728 756 819 936 1008 1077 1092 1404 1436 1456 1512 1638 1872 2154 2184 2457 2513 2808 2872 3024 3231 3276 4308 4368 4667 4914 5026 5616 5744 6462 6552 7539 8616 9334 9693 9828 10052 12924 13104 14001 15078 17232 18668 19386 19656 20104 22617 25848 28002 30156 32669 37336 38772 39312 40208 42003 45234 51696 56004 60312 65338 67851 74672 77544 84006 90468 98007 112008 120624 126009 130676 135702 155088 168012 180936 196014 224016 252018 261352 271404 294021 336024 361872 392028 504036 522704 542808 588042 672048 784056 882063 1008072 1085616 1176084 1568112 1764126 2016144 2352168 3528252 4704336 7056504 14113008