Search a number
-
+
263765140 = 225102112917
BaseRepresentation
bin11111011100010…
…11110010010100
3200101022122202021
433232023302110
51020010441030
642101222524
76351652402
oct1756136224
9611278667
10263765140
11125985721
1274401a44
1342851c62
1427060472
151825297a
hexfb8bc94

263765140 has 24 divisors (see below), whose sum is σ = 554492232. Its totient is φ = 105394560.

The previous prime is 263765137. The next prime is 263765167. The reversal of 263765140 is 41567362.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37503376 + 226261764 = 6124^2 + 15042^2 .

It is a junction number, because it is equal to n+sod(n) for n = 263765096 and 263765105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13962 + ... + 26878.

It is an arithmetic number, because the mean of its divisors is an integer number (23103843).

Almost surely, 2263765140 is an apocalyptic number.

263765140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263765140 is an abundant number, since it is smaller than the sum of its proper divisors (290727092).

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

263765140 is a wasteful number, since it uses less digits than its factorization.

263765140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13947 (or 13945 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 263765140 is about 16240.8478842701. The cubic root of 263765140 is about 641.3165768543.

The spelling of 263765140 in words is "two hundred sixty-three million, seven hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1021 2042 4084 5105 10210 12917 20420 25834 51668 64585 129170 258340 13188257 26376514 52753028 65941285 131882570 263765140