Search a number
-
+
10484147 is a prime number
BaseRepresentation
bin100111111111…
…100110110011
3201201122112202
4213333212303
510140443042
61012413415
7155054012
oct47774663
921648482
1010484147
115a10993
12361726b
13223104b
14156ca79
15dc1632
hex9ff9b3

10484147 has 2 divisors, whose sum is σ = 10484148. Its totient is φ = 10484146.

The previous prime is 10484137. The next prime is 10484153. The reversal of 10484147 is 74148401.

It is a strong prime.

It is an emirp because it is prime and its reverse (74148401) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10484147 is a prime.

It is a super-3 number, since 3×104841473 (a number of 22 digits) contains 333 as substring.

It is equal to p694613 and since 10484147 and 694613 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10484137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5242073 + 5242074.

It is an arithmetic number, because the mean of its divisors is an integer number (5242074).

Almost surely, 210484147 is an apocalyptic number.

10484147 is a deficient number, since it is larger than the sum of its proper divisors (1).

10484147 is an equidigital number, since it uses as much as digits as its factorization.

10484147 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 10484147 is about 3237.9232541862. The cubic root of 10484147 is about 218.8656974904.

The spelling of 10484147 in words is "ten million, four hundred eighty-four thousand, one hundred forty-seven".