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14281400 = 235271012
BaseRepresentation
bin110110011110…
…101010111000
3222212120101202
4312132222320
512124001100
61230033332
7232250510
oct66365270
928776352
1014281400
118074911
124948848
132c60543
141c7a840
1513c17d5
hexd9eab8

14281400 has 72 divisors (see below), whose sum is σ = 38327160. Its totient is φ = 4848000.

The previous prime is 14281391. The next prime is 14281417. The reversal of 14281400 is 418241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 141350 + ... + 141450.

Almost surely, 214281400 is an apocalyptic number.

14281400 is a gapful number since it is divisible by the number (10) 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 14281400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19163580).

14281400 is an abundant number, since it is smaller than the sum of its proper divisors (24045760).

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

14281400 is a wasteful number, since it uses less digits than its factorization.

14281400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 14281400 is about 3779.0739606417. The cubic root of 14281400 is about 242.6183218241.

Adding to 14281400 its reverse (418241), we get a palindrome (14699641).

The spelling of 14281400 in words is "fourteen million, two hundred eighty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 140 175 200 202 280 350 404 505 700 707 808 1010 1400 1414 2020 2525 2828 3535 4040 5050 5656 7070 10100 10201 14140 17675 20200 20402 28280 35350 40804 51005 70700 71407 81608 102010 141400 142814 204020 255025 285628 357035 408040 510050 571256 714070 1020100 1428140 1785175 2040200 2856280 3570350 7140700 14281400