Search a number
-
+
266563400 = 23521778401
BaseRepresentation
bin11111110001101…
…10111101001000
3200120120211020112
433320312331020
51021220012100
642241213452
76414515525
oct1770667510
9616524215
10266563400
11127517034
1275331288
13432c182c
142758c14c
1518606b35
hexfe36f48

266563400 has 48 divisors (see below), whose sum is σ = 656224740. Its totient is φ = 100352000.

The previous prime is 266563397. The next prime is 266563411. The reversal of 266563400 is 4365662.

266563400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 227949604 + 38613796 = 15098^2 + 6214^2 .

It is a congruent number.

It is an unprimeable number.

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, 35801 + ... + 42600.

Almost surely, 2266563400 is an apocalyptic number.

266563400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

266563400 is an abundant number, since it is smaller than the sum of its proper divisors (389661340).

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

266563400 is a wasteful number, since it uses less digits than its factorization.

266563400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78434 (or 78425 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 266563400 is about 16326.7694293758. The cubic root of 266563400 is about 643.5764932844.

It can be divided in two parts, 26656 and 3400, that multiplied together give a square (90630400 = 95202).

The spelling of 266563400 in words is "two hundred sixty-six million, five hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 78401 156802 313604 392005 627208 784010 1332817 1568020 1960025 2665634 3136040 3920050 5331268 6664085 7840100 10662536 13328170 15680200 26656340 33320425 53312680 66640850 133281700 266563400