Search a number
-
+
10032107 = 24141627
BaseRepresentation
bin100110010001…
…001111101011
3200212200110112
4212101033223
510032011412
6555004535
7151162061
oct46211753
920780415
1010032107
1157322a8
12343974b
132103377
141492031
15d32722
hex9913eb

10032107 has 4 divisors (see below), whose sum is σ = 10073976. Its totient is φ = 9990240.

The previous prime is 10032089. The next prime is 10032119. The reversal of 10032107 is 70123001.

10032107 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10032107 - 28 = 10031851 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10032091 and 10032100.

It is not an unprimeable number, because it can be changed into a prime (10032307) 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 3 ways as a sum of consecutive naturals, for example, 20573 + ... + 21054.

It is an arithmetic number, because the mean of its divisors is an integer number (2518494).

Almost surely, 210032107 is an apocalyptic number.

10032107 is a deficient number, since it is larger than the sum of its proper divisors (41869).

10032107 is an equidigital number, since it uses as much as digits as its factorization.

10032107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41868.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 10032107 is about 3167.3501543088. The cubic root of 10032107 is about 215.6737974556.

Adding to 10032107 its reverse (70123001), we get a palindrome (80155108).

The spelling of 10032107 in words is "ten million, thirty-two thousand, one hundred seven".

Divisors: 1 241 41627 10032107