Search a number
-
+
10032361 = 194091291
BaseRepresentation
bin100110010001…
…010011101001
3200212200210221
4212101103221
510032013421
6555010041
7151162603
oct46212351
920780727
1010032361
115732509
123439921
132103511
141492173
15d32841
hex9914e9

10032361 has 8 divisors (see below), whose sum is σ = 10594400. Its totient is φ = 9473760.

The previous prime is 10032353. The next prime is 10032367. The reversal of 10032361 is 16323001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10032361 - 23 = 10032353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10032367) 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 7 ways as a sum of consecutive naturals, for example, 7126 + ... + 8416.

It is an arithmetic number, because the mean of its divisors is an integer number (1324300).

Almost surely, 210032361 is an apocalyptic number.

10032361 is the 1417-th centered decagonal number.

It is an amenable number.

10032361 is a deficient number, since it is larger than the sum of its proper divisors (562039).

10032361 is a wasteful number, since it uses less digits than its factorization.

10032361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 10032361 is about 3167.3902506638. The cubic root of 10032361 is about 215.6756176343.

Adding to 10032361 its reverse (16323001), we get a palindrome (26355362).

It can be divided in two parts, 1003 and 2361, that added together give a square (3364 = 582).

The spelling of 10032361 in words is "ten million, thirty-two thousand, three hundred sixty-one".

Divisors: 1 19 409 1291 7771 24529 528019 10032361