Search a number
-
+
263090268 = 2236712889
BaseRepresentation
bin11111010111001…
…11000001011100
3200100001101000000
433223213001130
51014322342033
642034534300
76343142010
oct1753470134
9610041000
10263090268
11125564681
1274137390
1342676a1c
1426d26540
151816ca13
hexfae705c

263090268 has 84 divisors (see below), whose sum is σ = 788971120. Its totient is φ = 75162816.

The previous prime is 263090231. The next prime is 263090293. The reversal of 263090268 is 862090362.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13968 + ... + 26856.

Almost surely, 2263090268 is an apocalyptic number.

263090268 is a gapful number since it is divisible by the number (28) 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 263090268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394485560).

263090268 is an abundant number, since it is smaller than the sum of its proper divisors (525880852).

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

263090268 is a wasteful number, since it uses less digits than its factorization.

263090268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12918 (or 12901 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 263090268 is about 16220.0575831284. The cubic root of 263090268 is about 640.7691501371.

The spelling of 263090268 in words is "two hundred sixty-three million, ninety thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5103 6804 10206 12889 20412 25778 38667 51556 77334 90223 116001 154668 180446 232002 270669 348003 360892 464004 541338 696006 812007 1044009 1082676 1392012 1624014 2088018 2436021 3132027 3248028 4176036 4872042 6264054 7308063 9396081 9744084 12528108 14616126 18792162 21924189 29232252 37584324 43848378 65772567 87696756 131545134 263090268