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14019456 = 273113319
BaseRepresentation
bin110101011110…
…101110000000
3222101021002010
4311132232000
512042110311
61220252520
7230110023
oct65365600
928337063
1014019456
117a06030
124841140
132b9b249
141c0d1ba
15136dda6
hexd5eb80

14019456 has 64 divisors (see below), whose sum is σ = 40636800. Its totient is φ = 4247040.

The previous prime is 14019451. The next prime is 14019457. The reversal of 14019456 is 65491041.

It is a happy number.

14019456 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 tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14019451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2565 + ... + 5883.

It is an arithmetic number, because the mean of its divisors is an integer number (634950).

Almost surely, 214019456 is an apocalyptic number.

14019456 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 14019456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20318400).

14019456 is an abundant number, since it is smaller than the sum of its proper divisors (26617344).

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

14019456 is a wasteful number, since it uses less digits than its factorization.

14019456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 14019456 is about 3744.2564014768. The cubic root of 14019456 is about 241.1258217095.

The spelling of 14019456 in words is "fourteen million, nineteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 3319 4224 6638 9957 13276 19914 26552 36509 39828 53104 73018 79656 106208 109527 146036 159312 212416 219054 292072 318624 424832 438108 584144 637248 876216 1168288 1274496 1752432 2336576 3504864 4673152 7009728 14019456