Search a number
-
+
242020313 = 1753268613
BaseRepresentation
bin11100110110011…
…10111111011001
3121212101220110022
432123032333121
5443424122223
640003200225
75666065403
oct1633167731
9555356408
10242020313
11114683497
1269076075
133b1aa5b2
14241ddb73
15163a9ac8
hexe6cefd9

242020313 has 8 divisors (see below), whose sum is σ = 261092808. Its totient is φ = 223485184.

The previous prime is 242020291. The next prime is 242020333. The reversal of 242020313 is 313020242.

It can be written as a sum of positive squares in 4 ways, for example, as 174583369 + 67436944 = 13213^2 + 8212^2 .

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 242020313 - 28 = 242020057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242020291 and 242020300.

It is not an unprimeable number, because it can be changed into a prime (242020333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133406 + ... + 135207.

It is an arithmetic number, because the mean of its divisors is an integer number (32636601).

Almost surely, 2242020313 is an apocalyptic number.

It is an amenable number.

242020313 is a deficient number, since it is larger than the sum of its proper divisors (19072495).

242020313 is a wasteful number, since it uses less digits than its factorization.

242020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268683.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 242020313 is about 15557.0020569517. The cubic root of 242020313 is about 623.1854037769.

Adding to 242020313 its reverse (313020242), we get a palindrome (555040555).

The spelling of 242020313 in words is "two hundred forty-two million, twenty thousand, three hundred thirteen".

Divisors: 1 17 53 901 268613 4566421 14236489 242020313