Search a number
-
+
14138200 = 2352223317
BaseRepresentation
bin110101111011…
…101101011000
3222121021222001
4311323231120
512104410300
61223010344
7231113146
oct65735530
928537861
1014138200
117a8726a
1248999b4
132c102cb
141c40596
15139416a
hexd7bb58

14138200 has 48 divisors (see below), whose sum is σ = 33122880. Its totient is φ = 5612160.

The previous prime is 14138191. The next prime is 14138219. The reversal of 14138200 is 283141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44442 + ... + 44758.

It is an arithmetic number, because the mean of its divisors is an integer number (690060).

Almost surely, 214138200 is an apocalyptic number.

14138200 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 14138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561440).

14138200 is an abundant number, since it is smaller than the sum of its proper divisors (18984680).

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

14138200 is a wasteful number, since it uses less digits than its factorization.

14138200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 14138200 is about 3760.0797863875. The cubic root of 14138200 is about 241.8046826912.

The spelling of 14138200 in words is "fourteen million, one hundred thirty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 223 317 446 634 892 1115 1268 1585 1784 2230 2536 3170 4460 5575 6340 7925 8920 11150 12680 15850 22300 31700 44600 63400 70691 141382 282764 353455 565528 706910 1413820 1767275 2827640 3534550 7069100 14138200