Search a number
-
+
14056200 = 23335219137
BaseRepresentation
bin110101100111…
…101100001000
3222110010111000
4311213230020
512044244300
61221135000
7230322114
oct65475410
928403430
1014056200
117a306a4
12485a460
132bb1ba2
141c1c744
151379c00
hexd67b08

14056200 has 192 divisors, whose sum is σ = 51336000. Its totient is φ = 3525120.

The previous prime is 14056199. The next prime is 14056201. The reversal of 14056200 is 265041.

It is a happy number.

14056200 is a `hidden beast` number, since 1 + 40 + 5 + 620 + 0 = 666.

14056200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14056199) and next prime (14056201).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14056201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102532 + ... + 102668.

It is an arithmetic number, because the mean of its divisors is an integer number (267375).

Almost surely, 214056200 is an apocalyptic number.

14056200 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 14056200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25668000).

14056200 is an abundant number, since it is smaller than the sum of its proper divisors (37279800).

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

14056200 is a wasteful number, since it uses less digits than its factorization.

14056200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 14056200 is about 3749.1599058989. The cubic root of 14056200 is about 241.3362958303.

The spelling of 14056200 in words is "fourteen million, fifty-six thousand, two hundred".