Search a number
-
+
20430135 = 32511149277
BaseRepresentation
bin100110111101…
…1110100110111
31102102221212200
41031323310313
520212231020
62005515543
7335440035
oct115736467
942387780
1020430135
1110594510
126a12bb3
13430414b
1429db555
151bd8590
hex137bd37

20430135 has 48 divisors (see below), whose sum is σ = 39031200. Its totient is φ = 9803520.

The previous prime is 20430131. The next prime is 20430143. The reversal of 20430135 is 53103402.

It is not a de Polignac number, because 20430135 - 22 = 20430131 is a prime.

It is a super-2 number, since 2×204301352 = 834780832236450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73617 + ... + 73893.

It is an arithmetic number, because the mean of its divisors is an integer number (813150).

Almost surely, 220430135 is an apocalyptic number.

20430135 is a deficient number, since it is larger than the sum of its proper divisors (18601065).

20430135 is a wasteful number, since it uses less digits than its factorization.

20430135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20430135 is about 4519.9706857456. The cubic root of 20430135 is about 273.3739190510.

Adding to 20430135 its reverse (53103402), we get a palindrome (73533537).

The spelling of 20430135 in words is "twenty million, four hundred thirty thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 149 165 277 447 495 745 831 1341 1385 1639 2235 2493 3047 4155 4917 6705 8195 9141 12465 14751 15235 24585 27423 41273 45705 73755 123819 137115 206365 371457 454003 619095 1362009 1857285 2270015 4086027 6810045 20430135