Search a number
-
+
245256260 = 22541349857
BaseRepresentation
bin11101001111001…
…01000001000100
3122002111022100012
432213211001010
51000241200020
640200405352
76035433554
oct1647450104
9562438305
10245256260
11116493727
126a176858
133ba71462
1424803164
15167e87c5
hexe9e5044

245256260 has 48 divisors (see below), whose sum is σ = 529729200. Its totient is φ = 95324160.

The previous prime is 245256251. The next prime is 245256269. The reversal of 245256260 is 62652542.

245256260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245256251) and next prime (245256269).

It can be written as a sum of positive squares in 8 ways, for example, as 145924 + 245110336 = 382^2 + 15656^2 .

It is not an unprimeable number, because it can be changed into a prime (245256269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285752 + ... + 286608.

It is an arithmetic number, because the mean of its divisors is an integer number (11036025).

Almost surely, 2245256260 is an apocalyptic number.

245256260 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 245256260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264864600).

245256260 is an abundant number, since it is smaller than the sum of its proper divisors (284472940).

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

245256260 is a wasteful number, since it uses less digits than its factorization.

245256260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 245256260 is about 15660.6596285086. The cubic root of 245256260 is about 625.9505620911.

The spelling of 245256260 in words is "two hundred forty-five million, two hundred fifty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 349 410 698 820 857 1396 1714 1745 3428 3490 4285 6980 8570 14309 17140 28618 35137 57236 70274 71545 140548 143090 175685 286180 299093 351370 598186 702740 1196372 1495465 2990930 5981860 12262813 24525626 49051252 61314065 122628130 245256260