Search a number
-
+
245666260 = 225741127337
BaseRepresentation
bin11101010010010…
…01000111010100
3122010021010202101
432221021013110
51000342310020
640213251444
76042062110
oct1651110724
9563233671
10245666260
11116743774
126a333b84
133bb85c68
14248ac740
151687a00a
hexea491d4

245666260 has 96 divisors (see below), whose sum is σ = 610541568. Its totient is φ = 81285120.

The previous prime is 245666249. The next prime is 245666293. The reversal of 245666260 is 62666542.

It is a happy number.

It is a super-2 number, since 2×2456662602 = 120703822604775200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728812 + ... + 729148.

It is an arithmetic number, because the mean of its divisors is an integer number (6359808).

Almost surely, 2245666260 is an apocalyptic number.

245666260 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 245666260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305270784).

245666260 is an abundant number, since it is smaller than the sum of its proper divisors (364875308).

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

245666260 is a wasteful number, since it uses less digits than its factorization.

245666260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 245666260 is about 15673.7442878210. The cubic root of 245666260 is about 626.2991727690.

The spelling of 245666260 in words is "two hundred forty-five million, six hundred sixty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 127 140 164 205 254 287 337 410 508 574 635 674 820 889 1148 1270 1348 1435 1685 1778 2359 2540 2870 3370 3556 4445 4718 5207 5740 6740 8890 9436 10414 11795 13817 17780 20828 23590 26035 27634 36449 42799 47180 52070 55268 69085 72898 85598 96719 104140 138170 145796 171196 182245 193438 213995 276340 299593 364490 386876 427990 483595 599186 728980 855980 967190 1198372 1497965 1754759 1934380 2995930 3509518 5991860 7019036 8773795 12283313 17547590 24566626 35095180 49133252 61416565 122833130 245666260