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14056128 = 2632231061
BaseRepresentation
bin110101100111…
…101011000000
3222110010101100
4311213223000
512044244003
61221134400
7230321652
oct65475300
928403340
1014056128
117a30639
12485a400
132bb1b48
141c1c6d2
151379ba3
hexd67ac0

14056128 has 84 divisors (see below), whose sum is σ = 42080688. Its totient is φ = 4477440.

The previous prime is 14056121. The next prime is 14056129. The reversal of 14056128 is 82165041.

14056128 is a `hidden beast` number, since 1 + 40 + 5 + 612 + 8 = 666.

14056128 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 not an unprimeable number, because it can be changed into a prime (14056121) 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, 12718 + ... + 13778.

Almost surely, 214056128 is an apocalyptic number.

14056128 is a gapful number since it is divisible by the number (18) 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 14056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21040344).

14056128 is an abundant number, since it is smaller than the sum of its proper divisors (28024560).

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

14056128 is a wasteful number, since it uses less digits than its factorization.

14056128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 14056128 is about 3749.1503037355. The cubic root of 14056128 is about 241.3358837644.

The spelling of 14056128 in words is "fourteen million, fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1061 1104 1472 1656 2122 2208 3183 3312 4244 4416 6366 6624 8488 9549 12732 13248 16976 19098 24403 25464 33952 38196 48806 50928 67904 73209 76392 97612 101856 146418 152784 195224 203712 219627 292836 305568 390448 439254 585672 611136 780896 878508 1171344 1561792 1757016 2342688 3514032 4685376 7028064 14056128