256200 has 96 divisors (see below), whose sum is σ = 922560. Its totient is φ = 57600.

The previous prime is 256199. The next prime is 256211. The reversal of 256200 is 2652.

256200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 8.

It is a self number, because there is not a number *n* which added to its sum of digits gives 256200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4170 + ... + 4230.

It is an arithmetic number, because the mean of its divisors is an integer number (9610).

2^{256200} is an apocalyptic number.

256200 is a gapful number since it is divisible by the number (20) 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 256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461280).

256200 is an abundant number, since it is smaller than the sum of its proper divisors (666360).

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

256200 is a wasteful number, since it uses less digits than its factorization.

256200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 256200 is about 506.1620293938. The cubic root of 256200 is about 63.5125732021.

Adding to 256200 its reverse (2652), we get a palindrome (258852).

The spelling of 256200 in words is "two hundred fifty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 61 70 75 84 100 105 120 122 140 150 168 175 183 200 210 244 280 300 305 350 366 420 427 488 525 600 610 700 732 840 854 915 1050 1220 1281 1400 1464 1525 1708 1830 2100 2135 2440 2562 3050 3416 3660 4200 4270 4575 5124 6100 6405 7320 8540 9150 10248 10675 12200 12810 17080 18300 21350 25620 32025 36600 42700 51240 64050 85400 128100 256200

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