Search a number
-
+
10132816 = 241737253
BaseRepresentation
bin100110101001…
…110101010000
3201001210121111
4212221311100
510043222231
61001103104
7152061511
oct46516520
921053544
1010132816
1157a0a31
123487a94
13213a165
1414baa08
15d524b1
hex9a9d50

10132816 has 20 divisors (see below), whose sum is σ = 20787732. Its totient is φ = 4768256.

The previous prime is 10132813. The next prime is 10132817. The reversal of 10132816 is 61823101.

It can be written as a sum of positive squares in 2 ways, for example, as 9486400 + 646416 = 3080^2 + 804^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18355 + ... + 18898.

Almost surely, 210132816 is an apocalyptic number.

10132816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10132816 is an abundant number, since it is smaller than the sum of its proper divisors (10654916).

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

10132816 is a wasteful number, since it uses less digits than its factorization.

10132816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37278 (or 37272 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10132816 is about 3183.2084443215. The cubic root of 10132816 is about 216.3930885004.

Adding to 10132816 its reverse (61823101), we get a palindrome (71955917).

The spelling of 10132816 in words is "ten million, one hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 37253 74506 149012 298024 596048 633301 1266602 2533204 5066408 10132816