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255235400 = 23527315881
BaseRepresentation
bin11110011011010…
…01010101001000
3122210021022010222
433031221111020
51010320013100
641154325212
76216315350
oct1715512510
9583238128
10255235400
1112108a152
1271589808
1340b56684
1425c7db60
151761a485
hexf369548

255235400 has 96 divisors (see below), whose sum is σ = 700193280. Its totient is φ = 84672000.

The previous prime is 255235327. The next prime is 255235411. The reversal of 255235400 is 4532552.

255235400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 255235400.

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, 40460 + ... + 46340.

It is an arithmetic number, because the mean of its divisors is an integer number (7293680).

Almost surely, 2255235400 is an apocalyptic number.

255235400 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 255235400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350096640).

255235400 is an abundant number, since it is smaller than the sum of its proper divisors (444957880).

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

255235400 is a wasteful number, since it uses less digits than its factorization.

255235400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 255235400 is about 15976.0883823294. The cubic root of 255235400 is about 634.3276409920.

Adding to 255235400 its reverse (4532552), we get a palindrome (259767952).

The spelling of 255235400 in words is "two hundred fifty-five million, two hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 1085 1240 1400 1550 1736 2170 3100 4340 5425 5881 6200 8680 10850 11762 21700 23524 29405 41167 43400 47048 58810 82334 117620 147025 164668 182311 205835 235240 294050 329336 364622 411670 588100 729244 823340 911555 1029175 1176200 1276177 1458488 1646680 1823110 2058350 2552354 3646220 4116700 4557775 5104708 6380885 7292440 8233400 9115550 10209416 12761770 18231100 25523540 31904425 36462200 51047080 63808850 127617700 255235400