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14006772 = 2232131732
BaseRepresentation
bin110101011011…
…100111110100
3222100121200100
4311123213310
512041204042
61220114100
7230025033
oct65334764
928317610
1014006772
1179a754a
124835930
132b95540
141c0871a
15136a24c
hexd5b9f4

14006772 has 54 divisors (see below), whose sum is σ = 38351222. Its totient is φ = 4284864.

The previous prime is 14006749. The next prime is 14006803. The reversal of 14006772 is 27760041.

It can be written as a sum of positive squares in 3 ways, for example, as 5503716 + 8503056 = 2346^2 + 2916^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 80878 + ... + 81050.

Almost surely, 214006772 is an apocalyptic number.

14006772 is a gapful number since it is divisible by the number (12) 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 14006772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19175611).

14006772 is an abundant number, since it is smaller than the sum of its proper divisors (24344450).

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

14006772 is a wasteful number, since it uses less digits than its factorization.

14006772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 14006772 is about 3742.5622239316. The cubic root of 14006772 is about 241.0530808282.

The spelling of 14006772 in words is "fourteen million, six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 234 346 468 519 692 1038 1557 2076 2249 3114 4498 6228 6747 8996 13494 20241 26988 29929 40482 59858 80964 89787 119716 179574 269361 359148 389077 538722 778154 1077444 1167231 1556308 2334462 3501693 4668924 7003386 14006772