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255240400 = 24521314871
BaseRepresentation
bin11110011011010…
…10100011010000
3122210021120000011
433031222203100
51010320143100
641154404304
76216336052
oct1715524320
9583246004
10255240400
11121092988
1271590694
1340b58a2c
1425c818d2
151761bbba
hexf36a8d0

255240400 has 60 divisors (see below), whose sum is σ = 618022944. Its totient is φ = 101296000.

The previous prime is 255240379. The next prime is 255240437. The reversal of 255240400 is 4042552.

255240400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49965 + ... + 54835.

Almost surely, 2255240400 is an apocalyptic number.

255240400 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 255240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309011472).

255240400 is an abundant number, since it is smaller than the sum of its proper divisors (362782544).

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

255240400 is a wasteful number, since it uses less digits than its factorization.

255240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 255240400 is about 15976.2448654244. The cubic root of 255240400 is about 634.3317830735.

Adding to 255240400 its reverse (4042552), we get a palindrome (259282952).

It can be divided in two parts, 25 and 5240400, that added together give a palindrome (5240425).

The spelling of 255240400 in words is "two hundred fifty-five million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 131 200 262 400 524 655 1048 1310 2096 2620 3275 4871 5240 6550 9742 10480 13100 19484 24355 26200 38968 48710 52400 77936 97420 121775 194840 243550 389680 487100 638101 974200 1276202 1948400 2552404 3190505 5104808 6381010 10209616 12762020 15952525 25524040 31905050 51048080 63810100 127620200 255240400