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10132848 = 2432116397
BaseRepresentation
bin100110101001…
…110101110000
3201001210122200
4212221311300
510043222343
61001103200
7152061555
oct46516560
921053580
1010132848
1157a0a60
123487b00
13213a18b
1414baa2c
15d524d3
hex9a9d70

10132848 has 60 divisors (see below), whose sum is σ = 30940728. Its totient is φ = 3070080.

The previous prime is 10132847. The next prime is 10132849. The reversal of 10132848 is 84823101.

10132848 is digitally balanced in base 2, 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 (10132847) and next prime (10132849).

It is a super-2 number, since 2×101328482 = 205349217182208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132841) 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, 1615 + ... + 4782.

Almost surely, 210132848 is an apocalyptic number.

10132848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10132848 is an abundant number, since it is smaller than the sum of its proper divisors (20807880).

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

10132848 is a wasteful number, since it uses less digits than its factorization.

10132848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10132848 is about 3183.2134706928. The cubic root of 10132848 is about 216.3933162940.

Adding to 10132848 its reverse (84823101), we get a palindrome (94955949).

The spelling of 10132848 in words is "ten million, one hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 6397 12794 19191 25588 38382 51176 57573 70367 76764 102352 115146 140734 153528 211101 230292 281468 307056 422202 460584 562936 633303 844404 921168 1125872 1266606 1688808 2533212 3377616 5066424 10132848