Search a number
-
+
14097200 = 2452132711
BaseRepresentation
bin110101110001…
…101100110000
3222112012201112
4311301230300
512102102300
61222052452
7230552465
oct65615460
928465645
1014097200
117a59487
12487a128
132bc7750
141c2d66c
151386e35
hexd71b30

14097200 has 60 divisors (see below), whose sum is σ = 36487248. Its totient is φ = 5203200.

The previous prime is 14097197. The next prime is 14097211. The reversal of 14097200 is 279041.

14097200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3845 + ... + 6555.

Almost surely, 214097200 is an apocalyptic number.

14097200 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 14097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18243624).

14097200 is an abundant number, since it is smaller than the sum of its proper divisors (22390048).

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

14097200 is a wasteful number, since it uses less digits than its factorization.

14097200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 14097200 is about 3754.6238160434. The cubic root of 14097200 is about 241.5707163022.

The spelling of 14097200 in words is "fourteen million, ninety-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 2711 5200 5422 10844 13555 21688 27110 35243 43376 54220 67775 70486 108440 135550 140972 176215 216880 271100 281944 352430 542200 563888 704860 881075 1084400 1409720 1762150 2819440 3524300 7048600 14097200