Search a number
-
+
10182081 = 3713219151
BaseRepresentation
bin100110110101…
…110111000001
3201011022012010
4212311313001
510101311311
61002123133
7152355240
oct46656701
921138163
1010182081
115824a48
1234b04a9
132156700
1414d0957
15d61da6
hex9b5dc1

10182081 has 48 divisors (see below), whose sum is σ = 17802240. Its totient is φ = 5054400.

The previous prime is 10182079. The next prime is 10182089. The reversal of 10182081 is 18028101.

It is not a de Polignac number, because 10182081 - 21 = 10182079 is a prime.

It is a super-2 number, since 2×101820812 = 207349546981122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10182089) 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 47 ways as a sum of consecutive naturals, for example, 67356 + ... + 67506.

It is an arithmetic number, because the mean of its divisors is an integer number (370880).

Almost surely, 210182081 is an apocalyptic number.

It is an amenable number.

10182081 is a deficient number, since it is larger than the sum of its proper divisors (7620159).

10182081 is a wasteful number, since it uses less digits than its factorization.

10182081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 10182081 is about 3190.9373231074. The cubic root of 10182081 is about 216.7432173950.

The spelling of 10182081 in words is "ten million, one hundred eighty-two thousand, eighty-one".

Divisors: 1 3 7 13 19 21 39 57 91 133 151 169 247 273 399 453 507 741 1057 1183 1729 1963 2869 3171 3211 3549 5187 5889 8607 9633 13741 20083 22477 25519 37297 41223 60249 67431 76557 111891 178633 261079 484861 535899 783237 1454583 3394027 10182081