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14289072 = 243723432
BaseRepresentation
bin110110100000…
…100010110000
3222212221220220
4312200202300
512124222242
61230133040
7232312050
oct66404260
928787826
1014289072
11807a656
124951180
132c63b95
141c7d560
1513c3bec
hexda08b0

14289072 has 120 divisors (see below), whose sum is σ = 45068544. Its totient is φ = 3814272.

The previous prime is 14289071. The next prime is 14289073. The reversal of 14289072 is 27098241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14289071) and next prime (14289073).

It is not an unprimeable number, because it can be changed into a prime (14289071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332283 + ... + 332325.

Almost surely, 214289072 is an apocalyptic number.

14289072 is a gapful number since it is divisible by the number (12) 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 14289072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22534272).

14289072 is an abundant number, since it is smaller than the sum of its proper divisors (30779472).

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

14289072 is a wasteful number, since it uses less digits than its factorization.

14289072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 14289072 is about 3780.0888878438. The cubic root of 14289072 is about 242.6617590817.

The spelling of 14289072 in words is "fourteen million, two hundred eighty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 43 46 48 56 69 84 86 92 112 129 138 161 168 172 184 258 276 301 322 336 344 368 483 516 552 602 644 688 903 966 989 1032 1104 1204 1288 1806 1849 1932 1978 2064 2408 2576 2967 3612 3698 3864 3956 4816 5547 5934 6923 7224 7396 7728 7912 11094 11868 12943 13846 14448 14792 15824 20769 22188 23736 25886 27692 29584 38829 41538 42527 44376 47472 51772 55384 77658 83076 85054 88752 103544 110768 127581 155316 166152 170108 207088 255162 297689 310632 332304 340216 510324 595378 621264 680432 893067 1020648 1190756 1786134 2041296 2381512 3572268 4763024 7144536 14289072