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14056768 = 261141487
BaseRepresentation
bin110101100111…
…110101000000
3222110011021001
4311213311000
512044304033
61221141344
7230323555
oct65476500
928404231
1014056768
117a31070
12485a854
132bb221b
141c1ca2c
151379e7d
hexd67d40

14056768 has 56 divisors (see below), whose sum is σ = 31235904. Its totient is φ = 6220800.

The previous prime is 14056759. The next prime is 14056771. The reversal of 14056768 is 86765041.

14056768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28621 + ... + 29107.

It is an arithmetic number, because the mean of its divisors is an integer number (557784).

Almost surely, 214056768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15617952).

14056768 is an abundant number, since it is smaller than the sum of its proper divisors (17179136).

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

14056768 is a wasteful number, since it uses less digits than its factorization.

14056768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 14056768 is about 3749.2356554370. The cubic root of 14056768 is about 241.3395465233.

The spelling of 14056768 in words is "fourteen million, fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 451 487 656 704 902 974 1312 1804 1948 2624 3608 3896 5357 7216 7792 10714 14432 15584 19967 21428 28864 31168 39934 42856 79868 85712 159736 171424 219637 319472 342848 439274 638944 878548 1277888 1757096 3514192 7028384 14056768