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10506241 = 312271493
BaseRepresentation
bin101000000101…
…000000000001
3201202202212001
4220011000001
510142144431
61013104001
7155205304
oct50050001
921682761
1010506241
115a26549
123628001
13223b115
141576b3b
15dc7e61
hexa05001

10506241 has 8 divisors (see below), whose sum is σ = 10900224. Its totient is φ = 10115760.

The previous prime is 10506227. The next prime is 10506247. The reversal of 10506241 is 14260501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10506241 - 213 = 10498049 is a prime.

It is a super-2 number, since 2×105062412 = 220762199900162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10506247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6291 + ... + 7783.

It is an arithmetic number, because the mean of its divisors is an integer number (1362528).

It is a Proth number, since it is equal to 2565 ⋅ 212 + 1 and 2565 < 212.

Almost surely, 210506241 is an apocalyptic number.

It is an amenable number.

10506241 is a deficient number, since it is larger than the sum of its proper divisors (393983).

10506241 is a wasteful number, since it uses less digits than its factorization.

10506241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10506241 is about 3241.3332133553. Note that the first 3 decimals coincide. The cubic root of 10506241 is about 219.0193334474.

Adding to 10506241 its reverse (14260501), we get a palindrome (24766742).

It can be divided in two parts, 1050624 and 1, that added together give a square (1050625 = 10252).

The spelling of 10506241 in words is "ten million, five hundred six thousand, two hundred forty-one".

Divisors: 1 31 227 1493 7037 46283 338911 10506241