Search a number
-
+
255305400 = 23352789683
BaseRepresentation
bin11110011011110…
…10011010111000
3122210101212011120
433031322122320
51010324233100
641200025240
76220026420
oct1715723270
9583355146
10255305400
111211277a9
1271602220
1340b7c4ac
1425c9b480
15176310a0
hexf37a6b8

255305400 has 192 divisors, whose sum is σ = 916012800. Its totient is φ = 57615360.

The previous prime is 255305389. The next prime is 255305411. The reversal of 255305400 is 4503552.

It is an interprime number because it is at equal distance from previous prime (255305389) and next prime (255305411).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373459 + ... + 374141.

It is an arithmetic number, because the mean of its divisors is an integer number (4770900).

Almost surely, 2255305400 is an apocalyptic number.

255305400 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 255305400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458006400).

255305400 is an abundant number, since it is smaller than the sum of its proper divisors (660707400).

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

255305400 is a wasteful number, since it uses less digits than its factorization.

255305400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 255305400 is about 15978.2790062009. The cubic root of 255305400 is about 634.3856252113.

Adding to 255305400 its reverse (4503552), we get a palindrome (259808952).

The spelling of 255305400 in words is "two hundred fifty-five million, three hundred five thousand, four hundred".