Search a number
-
+
10132893 = 326118457
BaseRepresentation
bin100110101001…
…110110011101
3201001210201100
4212221312131
510043223033
61001103313
7152061651
oct46516635
921053640
1010132893
1157a0aa1
123487b39
13213a1c4
1414baa61
15d52513
hex9a9d9d

10132893 has 12 divisors (see below), whose sum is σ = 14877148. Its totient is φ = 6644160.

The previous prime is 10132873. The next prime is 10132921. The reversal of 10132893 is 39823101.

It can be written as a sum of positive squares in 2 ways, for example, as 3305124 + 6827769 = 1818^2 + 2613^2 .

It is not a de Polignac number, because 10132893 - 28 = 10132637 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8680 + ... + 9777.

Almost surely, 210132893 is an apocalyptic number.

It is an amenable number.

10132893 is a deficient number, since it is larger than the sum of its proper divisors (4744255).

10132893 is a wasteful number, since it uses less digits than its factorization.

10132893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18524 (or 18521 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10132893 is about 3183.2205390139. The cubic root of 10132893 is about 216.3936366279.

Adding to 10132893 its reverse (39823101), we get a palindrome (49955994).

It can be divided in two parts, 10132 and 893, that added together give a square (11025 = 1052).

The spelling of 10132893 in words is "ten million, one hundred thirty-two thousand, eight hundred ninety-three".

Divisors: 1 3 9 61 183 549 18457 55371 166113 1125877 3377631 10132893