Search a number
-
+
20142135 = 3351323499
BaseRepresentation
bin100110011010…
…1100000110111
31101220022211000
41030311200313
520124022020
61555414343
7333130266
oct114654067
941808730
1020142135
11104080a2
1268b43b3
134233030
1429645dd
151b7d090
hex1335837

20142135 has 64 divisors (see below), whose sum is σ = 40320000. Its totient is φ = 9465984.

The previous prime is 20142131. The next prime is 20142163. The reversal of 20142135 is 53124102.

It is not a de Polignac number, because 20142135 - 22 = 20142131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20142131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40116 + ... + 40614.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 220142135 is an apocalyptic number.

20142135 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

20142135 is a wasteful number, since it uses less digits than its factorization.

20142135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20142135 is about 4487.9989973261. The cubic root of 20142135 is about 272.0832672908.

Adding to 20142135 its reverse (53124102), we get a palindrome (73266237).

The spelling of 20142135 in words is "twenty million, one hundred forty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 115 117 135 195 207 299 345 351 499 585 621 897 1035 1495 1497 1755 2495 2691 3105 4485 4491 6487 7485 8073 11477 13455 13473 19461 22455 32435 34431 40365 57385 58383 67365 97305 103293 149201 172155 175149 291915 309879 447603 516465 746005 875745 1342809 1549395 2238015 4028427 6714045 20142135