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14072256 = 2632112221
BaseRepresentation
bin110101101011…
…100111000000
3222110221111200
4311223213000
512100303011
61221341200
7230416662
oct65534700
928427450
1014072256
117a41770
124867800
132bb92a3
141c24532
15137e856
hexd6b9c0

14072256 has 84 divisors (see below), whose sum is σ = 44022264. Its totient is φ = 4262400.

The previous prime is 14072249. The next prime is 14072257. The reversal of 14072256 is 65227041.

14072256 is a `hidden beast` number, since 1 + 407 + 2 + 256 = 666.

14072256 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14072257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5226 + ... + 7446.

Almost surely, 214072256 is an apocalyptic number.

14072256 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 14072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22011132).

14072256 is an abundant number, since it is smaller than the sum of its proper divisors (29950008).

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

14072256 is a wasteful number, since it uses less digits than its factorization.

14072256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 14072256 is about 3751.3005744675. The cubic root of 14072256 is about 241.4281514079.

Adding to 14072256 its reverse (65227041), we get a palindrome (79299297).

It can be divided in two parts, 1407 and 2256, that added together give a palindrome (3663).

The spelling of 14072256 in words is "fourteen million, seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 2221 3168 4442 6336 6663 8884 13326 17768 19989 24431 26652 35536 39978 48862 53304 71072 73293 79956 97724 106608 142144 146586 159912 195448 213216 219879 293172 319824 390896 426432 439758 586344 639648 781792 879516 1172688 1279296 1563584 1759032 2345376 3518064 4690752 7036128 14072256