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20142356 = 22131922937
BaseRepresentation
bin100110011010…
…1100100010100
31101220100010012
41030311210110
520124023411
61555415352
7333131033
oct114654424
941810105
1020142356
1110408283
1268b4558
134233170
14296471a
151b7d18b
hex1335914

20142356 has 72 divisors (see below), whose sum is σ = 42565320. Its totient is φ = 8273664.

The previous prime is 20142349. The next prime is 20142359. The reversal of 20142356 is 65324102.

It can be written as a sum of positive squares in 4 ways, for example, as 3610000 + 16532356 = 1900^2 + 4066^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20142359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544370 + ... + 544406.

It is an arithmetic number, because the mean of its divisors is an integer number (591185).

Almost surely, 220142356 is an apocalyptic number.

20142356 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20142356 is an abundant number, since it is smaller than the sum of its proper divisors (22422964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20142356 is a wasteful number, since it uses less digits than its factorization.

20142356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 20142356 is about 4488.0236184762. The cubic root of 20142356 is about 272.0842623886.

Adding to 20142356 its reverse (65324102), we get a palindrome (85466458).

The spelling of 20142356 in words is "twenty million, one hundred forty-two thousand, three hundred fifty-six".

Divisors: 1 2 4 13 19 26 29 37 38 52 58 74 76 116 148 247 361 377 481 494 551 703 722 754 962 988 1073 1102 1406 1444 1508 1924 2146 2204 2812 4292 4693 7163 9139 9386 10469 13357 13949 14326 18278 18772 20387 20938 26714 27898 28652 36556 40774 41876 53428 55796 81548 136097 173641 265031 272194 347282 387353 530062 544388 694564 774706 1060124 1549412 5035589 10071178 20142356