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255640000 = 265471183
BaseRepresentation
bin11110011110011…
…00000111000000
3122211000212011011
433033030013000
51010420440000
641211130304
76222622060
oct1717140700
9584025134
10255640000
11121336130
1271743994
1340c68895
1425d473a0
151769a2ba
hexf3cc1c0

255640000 has 280 divisors, whose sum is σ = 799843968. Its totient is φ = 78720000.

The previous prime is 255639983. The next prime is 255640001. The reversal of 255640000 is 46552.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255640001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3079959 + ... + 3080041.

Almost surely, 2255640000 is an apocalyptic number.

255640000 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 255640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399921984).

255640000 is an abundant number, since it is smaller than the sum of its proper divisors (544203968).

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

255640000 is an equidigital number, since it uses as much as digits as its factorization.

255640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 255640000 is about 15988.7460421385. The cubic root of 255640000 is about 634.6626434633.

Adding to 255640000 its reverse (46552), we get a palindrome (255686552).

The spelling of 255640000 in words is "two hundred fifty-five million, six hundred forty thousand".