Search a number
-
+
10132623 = 3271101157
BaseRepresentation
bin100110101001…
…110010001111
3201001210100100
4212221302033
510043220443
61001102143
7152061114
oct46516217
921053310
1010132623
1157a0876
123487953
13213a047
1414ba90b
15d523d3
hex9a9c8f

10132623 has 24 divisors (see below), whose sum is σ = 15084576. Its totient is φ = 6552000.

The previous prime is 10132621. The next prime is 10132637. The reversal of 10132623 is 32623101.

10132623 is a `hidden beast` number, since 10 + 1 + 32 + 623 = 666.

It is not a de Polignac number, because 10132623 - 21 = 10132621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10132596 and 10132605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132621) 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 23 ways as a sum of consecutive naturals, for example, 64461 + ... + 64617.

It is an arithmetic number, because the mean of its divisors is an integer number (628524).

Almost surely, 210132623 is an apocalyptic number.

10132623 is a deficient number, since it is larger than the sum of its proper divisors (4951953).

10132623 is a wasteful number, since it uses less digits than its factorization.

10132623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 10132623 is about 3183.1781288517. The cubic root of 10132623 is about 216.3917146102.

Adding to 10132623 its reverse (32623101), we get a palindrome (42755724).

It can be divided in two parts, 101 and 32623, that multiplied together give a palindrome (3294923).

The spelling of 10132623 in words is "ten million, one hundred thirty-two thousand, six hundred twenty-three".

Divisors: 1 3 9 71 101 157 213 303 471 639 909 1413 7171 11147 15857 21513 33441 47571 64539 100323 142713 1125847 3377541 10132623