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14289128 = 237476189
BaseRepresentation
bin110110100000…
…100011101000
3222212221222222
4312200203220
512124223003
61230133212
7232312160
oct66404350
928787888
1014289128
11807a6a7
124951208
132c63c09
141c7d5a0
1513c3c38
hexda08e8

14289128 has 64 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 5829120.

The previous prime is 14289127. The next prime is 14289133. The reversal of 14289128 is 82198241.

It is not an unprimeable number, because it can be changed into a prime (14289127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160508 + ... + 160596.

It is an arithmetic number, because the mean of its divisors is an integer number (502200).

Almost surely, 214289128 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 14289128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

14289128 is an abundant number, since it is smaller than the sum of its proper divisors (17851672).

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

14289128 is a wasteful number, since it uses less digits than its factorization.

14289128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its digits is 9216, while the sum is 35.

The square root of 14289128 is about 3780.0962950697. The cubic root of 14289128 is about 242.6620760849.

The spelling of 14289128 in words is "fourteen million, two hundred eighty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 47 56 61 89 94 122 178 188 244 329 356 376 427 488 623 658 712 854 1246 1316 1708 2492 2632 2867 3416 4183 4984 5429 5734 8366 10858 11468 16732 20069 21716 22936 29281 33464 38003 40138 43432 58562 76006 80276 117124 152012 160552 234248 255163 304024 510326 1020652 1786141 2041304 3572282 7144564 14289128