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255340360 = 235112920011
BaseRepresentation
bin11110011100000…
…10111101001000
3122210110122010101
433032002331020
51010331342420
641200455144
76220233352
oct1716027510
9583418111
10255340360
11121150aa0
127161a4b4
1340b92392
1425caa0d2
151763b60a
hexf382f48

255340360 has 64 divisors (see below), whose sum is σ = 648388800. Its totient is φ = 89644800.

The previous prime is 255340343. The next prime is 255340361. The reversal of 255340360 is 63043552.

255340360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (255340361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2755 + ... + 22765.

It is an arithmetic number, because the mean of its divisors is an integer number (10131075).

Almost surely, 2255340360 is an apocalyptic number.

255340360 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 255340360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324194400).

255340360 is an abundant number, since it is smaller than the sum of its proper divisors (393048440).

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

255340360 is a wasteful number, since it uses less digits than its factorization.

255340360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20062 (or 20058 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 255340360 is about 15979.3729539053. The cubic root of 255340360 is about 634.4145802187.

The spelling of 255340360 in words is "two hundred fifty-five million, three hundred forty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 20011 40022 80044 100055 160088 200110 220121 400220 440242 580319 800440 880484 1100605 1160638 1760968 2201210 2321276 2901595 4402420 4642552 5803190 6383509 8804840 11606380 12767018 23212760 25534036 31917545 51068072 63835090 127670180 255340360