Search a number
-
+
10187427 = 361179311
BaseRepresentation
bin100110110111…
…001010100011
3201011120112010
4212313022203
510101444202
61002204003
7152406645
oct46671243
921146463
1010187427
115828a68
1234b3603
132158c83
1414d2895
15d6376c
hex9b72a3

10187427 has 16 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 6621600.

The previous prime is 10187399. The next prime is 10187473. The reversal of 10187427 is 72478101.

It is not a de Polignac number, because 10187427 - 210 = 10186403 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10187394 and 10187403.

It is not an unprimeable number, because it can be changed into a prime (10187327) 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, 32602 + ... + 32912.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 210187427 is an apocalyptic number.

10187427 is a deficient number, since it is larger than the sum of its proper divisors (3740253).

10187427 is a wasteful number, since it uses less digits than its factorization.

10187427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554.

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 10187427 is about 3191.7748980779. The cubic root of 10187427 is about 216.7811437125.

The spelling of 10187427 in words is "ten million, one hundred eighty-seven thousand, four hundred twenty-seven".

Divisors: 1 3 61 179 183 311 537 933 10919 18971 32757 55669 56913 167007 3395809 10187427