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255305680 = 2457265129
BaseRepresentation
bin11110011011110…
…10011111010000
3122210101212112221
433031322133100
51010324240210
641200030424
76220030300
oct1715723720
9583355487
10255305680
11121127a33
1271602414
1340b7c666
1425c9b600
15176311da
hexf37a7d0

255305680 has 60 divisors (see below), whose sum is σ = 690508260. Its totient is φ = 87532032.

The previous prime is 255305669. The next prime is 255305683. The reversal of 255305680 is 86503552.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52186176 + 203119504 = 7224^2 + 14252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255305683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28645 + ... + 36484.

It is an arithmetic number, because the mean of its divisors is an integer number (11508471).

Almost surely, 2255305680 is an apocalyptic number.

255305680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255305680 is an abundant number, since it is smaller than the sum of its proper divisors (435202580).

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

255305680 is a wasteful number, since it uses less digits than its factorization.

255305680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65156 (or 65143 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 255305680 is about 15978.2877680933. The cubic root of 255305680 is about 634.3858571269.

The spelling of 255305680 in words is "two hundred fifty-five million, three hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 65129 130258 260516 325645 455903 521032 651290 911806 1042064 1302580 1823612 2279515 2605160 3191321 3647224 4559030 5210320 6382642 7294448 9118060 12765284 15956605 18236120 25530568 31913210 36472240 51061136 63826420 127652840 255305680