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14097216 = 263717617
BaseRepresentation
bin110101110001…
…101101000000
3222112012202010
4311301231000
512102102331
61222052520
7230552520
oct65615500
928465663
1014097216
117a594a1
12487a140
132bc7763
141c2d680
151386e46
hexd71b40

14097216 has 112 divisors (see below), whose sum is σ = 45207936. Its totient is φ = 3784704.

The previous prime is 14097211. The next prime is 14097247. The reversal of 14097216 is 61279041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14097211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22540 + ... + 23156.

Almost surely, 214097216 is an apocalyptic number.

14097216 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 14097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22603968).

14097216 is an abundant number, since it is smaller than the sum of its proper divisors (31110720).

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

14097216 is a wasteful number, since it uses less digits than its factorization.

14097216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 14097216 is about 3754.6259467489. The cubic root of 14097216 is about 241.5708076946.

The spelling of 14097216 in words is "fourteen million, ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 617 672 714 816 952 1088 1234 1344 1428 1632 1851 1904 2468 2856 3264 3702 3808 4319 4936 5712 7404 7616 8638 9872 10489 11424 12957 14808 17276 19744 20978 22848 25914 29616 31467 34552 39488 41956 51828 59232 62934 69104 73423 83912 103656 118464 125868 138208 146846 167824 207312 220269 251736 276416 293692 335648 414624 440538 503472 587384 671296 829248 881076 1006944 1174768 1762152 2013888 2349536 3524304 4699072 7048608 14097216