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14038416 = 2432719733
BaseRepresentation
bin110101100011…
…010110010000
3222102020002100
4311203112100
512043212131
61220520400
7230216220
oct65432620
928366070
1014038416
117a192a7
124850100
132ba6a72
141c16080
1513747e6
hexd63590

14038416 has 120 divisors (see below), whose sum is σ = 47328320. Its totient is φ = 3794688.

The previous prime is 14038403. The next prime is 14038459. The reversal of 14038416 is 61483041.

It is a self number, because there is not a number n which added to its sum of digits gives 14038416.

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, 18786 + ... + 19518.

Almost surely, 214038416 is an apocalyptic number.

14038416 is a gapful number since it is divisible by the number (16) 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 14038416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23664160).

14038416 is an abundant number, since it is smaller than the sum of its proper divisors (33289904).

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

14038416 is a wasteful number, since it uses less digits than its factorization.

14038416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14038416 is about 3746.7874239140. The cubic root of 14038416 is about 241.2344727673.

The spelling of 14038416 in words is "fourteen million, thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 733 798 912 1008 1064 1197 1368 1466 1596 2128 2199 2394 2736 2932 3192 4398 4788 5131 5864 6384 6597 8796 9576 10262 11728 13194 13927 15393 17592 19152 20524 26388 27854 30786 35184 41048 41781 46179 52776 55708 61572 82096 83562 92358 97489 105552 111416 123144 125343 167124 184716 194978 222832 246288 250686 292467 334248 369432 389956 501372 584934 668496 738864 779912 877401 1002744 1169868 1559824 1754802 2005488 2339736 3509604 4679472 7019208 14038416