Search a number
-
+
10032117 = 323347419
BaseRepresentation
bin100110010001…
…001111110101
3200212200110220
4212101033311
510032011432
6555004553
7151162104
oct46211765
920780426
1010032117
115732307
123439759
132103384
14149203b
15d3272c
hex9913f5

10032117 has 16 divisors (see below), whose sum is σ = 14031360. Its totient is φ = 6363632.

The previous prime is 10032089. The next prime is 10032119. The reversal of 10032117 is 71123001.

It is a cyclic number.

It is not a de Polignac number, because 10032117 - 26 = 10032053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10032096 and 10032105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032119) 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 15 ways as a sum of consecutive naturals, for example, 23734 + ... + 24152.

It is an arithmetic number, because the mean of its divisors is an integer number (876960).

Almost surely, 210032117 is an apocalyptic number.

It is an amenable number.

10032117 is a deficient number, since it is larger than the sum of its proper divisors (3999243).

10032117 is a wasteful number, since it uses less digits than its factorization.

10032117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 10032117 is about 3167.3517329151. The cubic root of 10032117 is about 215.6738691167.

Adding to 10032117 its reverse (71123001), we get a palindrome (81155118).

The spelling of 10032117 in words is "ten million, thirty-two thousand, one hundred seventeen".

Divisors: 1 3 23 69 347 419 1041 1257 7981 9637 23943 28911 145393 436179 3344039 10032117