Search a number
-
+
12542260 = 2251737997
BaseRepresentation
bin101111110110…
…000100110100
3212121012202011
4233312010310
511202323020
61124454004
7211415233
oct57660464
925535664
1012542260
117097205
12424a304
1327a1a73
141946b1a
15117b35a
hexbf6134

12542260 has 48 divisors (see below), whose sum is σ = 28670544. Its totient is φ = 4589568.

The previous prime is 12542251. The next prime is 12542263. The reversal of 12542260 is 6224521.

It can be written as a sum of positive squares in 8 ways, for example, as 2944656 + 9597604 = 1716^2 + 3098^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12542263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12082 + ... + 13078.

It is an arithmetic number, because the mean of its divisors is an integer number (597303).

Almost surely, 212542260 is an apocalyptic number.

12542260 is a gapful number since it is divisible by the number (10) 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 12542260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14335272).

12542260 is an abundant number, since it is smaller than the sum of its proper divisors (16128284).

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

12542260 is a wasteful number, since it uses less digits than its factorization.

12542260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 12542260 is about 3541.5053296586. The cubic root of 12542260 is about 232.3406855558.

Adding to 12542260 its reverse (6224521), we get a palindrome (18766781).

The spelling of 12542260 in words is "twelve million, five hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 997 1258 1994 2516 3145 3988 4985 6290 9970 12580 16949 19940 33898 36889 67796 73778 84745 147556 169490 184445 338980 368890 627113 737780 1254226 2508452 3135565 6271130 12542260