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14027616 = 253253919
BaseRepresentation
bin110101100000…
…101101100000
3222101200021100
4311200231200
512042340431
61220354400
7230142561
oct65405540
928350240
1014027616
117a11179
124845a00
132ba1b85
141c12168
1513714e6
hexd60b60

14027616 has 72 divisors (see below), whose sum is σ = 40687920. Its totient is φ = 4582656.

The previous prime is 14027609. The next prime is 14027633. The reversal of 14027616 is 61672041.

14027616 is a `hidden beast` number, since 1 + 40 + 2 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 14027616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14805 + ... + 15723.

It is an arithmetic number, because the mean of its divisors is an integer number (565110).

Almost surely, 214027616 is an apocalyptic number.

14027616 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 14027616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20343960).

14027616 is an abundant number, since it is smaller than the sum of its proper divisors (26660304).

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

14027616 is a wasteful number, since it uses less digits than its factorization.

14027616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14027616 is about 3745.3459119286. The cubic root of 14027616 is about 241.1725949244.

Adding to 14027616 its reverse (61672041), we get a palindrome (75699657).

The spelling of 14027616 in words is "fourteen million, twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 919 954 1272 1696 1838 1908 2544 2757 3676 3816 5088 5514 7352 7632 8271 11028 14704 15264 16542 22056 29408 33084 44112 48707 66168 88224 97414 132336 146121 194828 264672 292242 389656 438363 584484 779312 876726 1168968 1558624 1753452 2337936 3506904 4675872 7013808 14027616