Search a number
265200 = 243521317
BaseRepresentation
bin1000000101111110000
3111110210020
41000233300
531441300
65403440
72153115
oct1005760
9443706
10265200
11171281
12109580
1393930
146c90c
15538a0
hex40bf0

265200 has 120 divisors (see below), whose sum is σ = 968688. Its totient is φ = 61440.

The previous prime is 265193. The next prime is 265207. The reversal of 265200 is 2562.

It is an interprime number because it is at equal distance from previous prime (265193) and next prime (265207).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 265200.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 265200.

It is not an unprimeable number, because it can be changed into a prime (265207) by changing a digit.

265200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15592 + ... + 15608.

2265200 is an apocalyptic number.

265200 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 265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484344).

265200 is an abundant number, since it is smaller than the sum of its proper divisors (703488).

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

265200 is a wasteful number, since it uses less digits than its factorization.

265200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 40 counting only the distinct ones).

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

The square root of 265200 is about 514.9757275833. The cubic root of 265200 is about 64.2477377110.

Adding to 265200 its reverse (2562), we get a palindrome (267762).

It can be divided in two parts, 265 and 200, that added together give a triangular number (465 = T30).

The spelling of 265200 in words is "two hundred sixty-five thousand, two hundred".