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20142432 = 253419409
BaseRepresentation
bin100110011010…
…1100101100000
31101220100020000
41030311211200
520124024212
61555420000
7333131202
oct114654540
941810200
1020142432
1110408342
1268b4600
1342331cb
142964772
151b7d1dc
hex1335960

20142432 has 120 divisors (see below), whose sum is σ = 62508600. Its totient is φ = 6345216.

The previous prime is 20142427. The next prime is 20142481. The reversal of 20142432 is 23424102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 49044 + ... + 49452.

It is an arithmetic number, because the mean of its divisors is an integer number (520905).

Almost surely, 220142432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31254300).

20142432 is an abundant number, since it is smaller than the sum of its proper divisors (42366168).

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

20142432 is a wasteful number, since it uses less digits than its factorization.

20142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20142432 is about 4488.0320854468. The cubic root of 20142432 is about 272.0846045925.

Adding to 20142432 its reverse (23424102), we get a palindrome (43566534).

The spelling of 20142432 in words is "twenty million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 409 432 456 513 608 648 684 818 864 912 1026 1227 1296 1368 1539 1636 1824 2052 2454 2592 2736 3078 3272 3681 4104 4908 5472 6156 6544 7362 7771 8208 9816 11043 12312 13088 14724 15542 16416 19632 22086 23313 24624 29448 31084 33129 39264 44172 46626 49248 58896 62168 66258 69939 88344 93252 117792 124336 132516 139878 176688 186504 209817 248672 265032 279756 353376 373008 419634 530064 559512 629451 746016 839268 1060128 1119024 1258902 1678536 2238048 2517804 3357072 5035608 6714144 10071216 20142432