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14282016 = 253753401
BaseRepresentation
bin110110011110…
…110100100000
3222212121020120
4312132310200
512124011031
61230040240
7232252350
oct66366440
928777216
1014282016
118075321
124949080
132c608c8
141c7ab60
1513c1a96
hexd9ed20

14282016 has 96 divisors (see below), whose sum is σ = 43763328. Its totient is φ = 3993600.

The previous prime is 14282003. The next prime is 14282029. The reversal of 14282016 is 61028241.

14282016 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 an interprime number because it is at equal distance from previous prime (14282003) and next prime (14282029).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35416 + ... + 35816.

It is an arithmetic number, because the mean of its divisors is an integer number (455868).

Almost surely, 214282016 is an apocalyptic number.

14282016 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 14282016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21881664).

14282016 is an abundant number, since it is smaller than the sum of its proper divisors (29481312).

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

14282016 is a wasteful number, since it uses less digits than its factorization.

14282016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 14282016 is about 3779.1554612109. The cubic root of 14282016 is about 242.6218100614.

The spelling of 14282016 in words is "fourteen million, two hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 401 424 636 672 742 802 848 1113 1203 1272 1484 1604 1696 2226 2406 2544 2807 2968 3208 4452 4812 5088 5614 5936 6416 8421 8904 9624 11228 11872 12832 16842 17808 19248 21253 22456 33684 35616 38496 42506 44912 63759 67368 85012 89824 127518 134736 148771 170024 255036 269472 297542 340048 446313 510072 595084 680096 892626 1020144 1190168 1785252 2040288 2380336 3570504 4760672 7141008 14282016