Search a number
-
+
10122463 = 1317163281
BaseRepresentation
bin100110100111…
…010011011111
3201001021102001
4212213103133
510042404323
61000543131
7152016361
oct46472337
921037361
1010122463
11579417a
123481aa7
132135530
1414b6d31
15d4e3ad
hex9a74df

10122463 has 16 divisors (see below), whose sum is σ = 11654496. Its totient is φ = 8709120.

The previous prime is 10122457. The next prime is 10122467. The reversal of 10122463 is 36422101.

It is a cyclic number.

It is not a de Polignac number, because 10122463 - 213 = 10114271 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10122463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122467) 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, 35883 + ... + 36163.

It is an arithmetic number, because the mean of its divisors is an integer number (728406).

Almost surely, 210122463 is an apocalyptic number.

10122463 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10122463 is a deficient number, since it is larger than the sum of its proper divisors (1532033).

10122463 is a wasteful number, since it uses less digits than its factorization.

10122463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 10122463 is about 3181.5818392743. The cubic root of 10122463 is about 216.3193649643.

Adding to 10122463 its reverse (36422101), we get a palindrome (46544564).

It can be divided in two parts, 10122 and 463, that added together give a triangular number (10585 = T145).

The spelling of 10122463 in words is "ten million, one hundred twenty-two thousand, four hundred sixty-three".

Divisors: 1 13 17 163 221 281 2119 2771 3653 4777 36023 45803 62101 595439 778651 10122463