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255136000 = 285371767
BaseRepresentation
bin11110011010100…
…01000100000000
3122210002020210111
433031101010000
51010303323000
641152241104
76215422510
oct1715210400
9583066714
10255136000
111210214a9
1271540194
1340b20362
1425c55840
15175eacba
hexf351100

255136000 has 288 divisors, whose sum is σ = 780579072. Its totient is φ = 81100800.

The previous prime is 255135967. The next prime is 255136019. The reversal of 255136000 is 631552.

It is a happy number.

255136000 is digitally balanced in base 3, 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 31 ways as a sum of consecutive naturals, for example, 3807967 + ... + 3808033.

It is an arithmetic number, because the mean of its divisors is an integer number (2710344).

Almost surely, 2255136000 is an apocalyptic number.

255136000 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 255136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390289536).

255136000 is an abundant number, since it is smaller than the sum of its proper divisors (525443072).

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

255136000 is an equidigital number, since it uses as much as digits as its factorization.

255136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 255136000 is about 15972.9771802254. The cubic root of 255136000 is about 634.2452851819.

Adding to 255136000 its reverse (631552), we get a palindrome (255767552).

It can be divided in two parts, 25513 and 6000, that added together give a palindrome (31513).

The spelling of 255136000 in words is "two hundred fifty-five million, one hundred thirty-six thousand".