Search a number
-
+
10242177 = 3111718257
BaseRepresentation
bin100111000100…
…100010000001
3201021100121220
4213010202001
510110222202
61003305253
7153025401
oct47044201
921240556
1010242177
115866110
12351b229
132177b7a
141508801
15d74abc
hex9c4881

10242177 has 16 divisors (see below), whose sum is σ = 15774912. Its totient is φ = 5841920.

The previous prime is 10242173. The next prime is 10242187. The reversal of 10242177 is 77124201.

10242177 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10242177 - 22 = 10242173 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10242173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8568 + ... + 9689.

It is an arithmetic number, because the mean of its divisors is an integer number (985932).

Almost surely, 210242177 is an apocalyptic number.

10242177 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10242177 is a deficient number, since it is larger than the sum of its proper divisors (5532735).

10242177 is a wasteful number, since it uses less digits than its factorization.

10242177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18288.

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 10242177 is about 3200.3401381728. The cubic root of 10242177 is about 217.1687970058.

Adding to 10242177 its reverse (77124201), we get a palindrome (87366378).

The spelling of 10242177 in words is "ten million, two hundred forty-two thousand, one hundred seventy-seven".

Divisors: 1 3 11 17 33 51 187 561 18257 54771 200827 310369 602481 931107 3414059 10242177