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255685540 = 2251137101311
BaseRepresentation
bin11110011110101…
…11001110100100
3122211010011121211
433033113032210
51010423414130
641212121204
76223201615
oct1717271644
9584104554
10255685540
11121367370
1271766204
1340c83526
1425d59c0c
15176a8a2a
hexf3d73a4

255685540 has 96 divisors (see below), whose sum is σ = 609493248. Its totient is φ = 89280000.

The previous prime is 255685537. The next prime is 255685541. The reversal of 255685540 is 45586552.

It is a junction number, because it is equal to n+sod(n) for n = 255685493 and 255685502.

It is not an unprimeable number, because it can be changed into a prime (255685541) 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 31 ways as a sum of consecutive naturals, for example, 821985 + ... + 822295.

It is an arithmetic number, because the mean of its divisors is an integer number (6348888).

Almost surely, 2255685540 is an apocalyptic number.

255685540 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 255685540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304746624).

255685540 is an abundant number, since it is smaller than the sum of its proper divisors (353807708).

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

255685540 is a wasteful number, since it uses less digits than its factorization.

255685540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The square root of 255685540 is about 15990.1701054116. The cubic root of 255685540 is about 634.7003277337.

The spelling of 255685540 in words is "two hundred fifty-five million, six hundred eighty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 101 110 148 185 202 220 311 370 404 407 505 622 740 814 1010 1111 1244 1555 1628 2020 2035 2222 3110 3421 3737 4070 4444 5555 6220 6842 7474 8140 11110 11507 13684 14948 17105 18685 22220 23014 31411 34210 37370 41107 46028 57535 62822 68420 74740 82214 115070 125644 126577 157055 164428 205535 230140 253154 314110 345521 411070 506308 628220 632885 691042 822140 1162207 1265770 1382084 1727605 2324414 2531540 3455210 4648828 5811035 6910420 11622070 12784277 23244140 25568554 51137108 63921385 127842770 255685540