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20162142 = 23371113373
BaseRepresentation
bin100110011101…
…0011001011110
31101221100021000
41030322121132
520130142032
62000051130
7333242520
oct114723136
941840230
1020162142
1110421130
126903aa6
13423c180
14296ba10
151b83e7c
hex133a65e

20162142 has 128 divisors (see below), whose sum is σ = 60318720. Its totient is φ = 4821120.

The previous prime is 20162123. The next prime is 20162167. The reversal of 20162142 is 24126102.

20162142 is a `hidden beast` number, since 2 + 0 + 1 + 621 + 42 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53868 + ... + 54240.

It is an arithmetic number, because the mean of its divisors is an integer number (471240).

Almost surely, 220162142 is an apocalyptic number.

20162142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20162142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30159360).

20162142 is an abundant number, since it is smaller than the sum of its proper divisors (40156578).

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

20162142 is a wasteful number, since it uses less digits than its factorization.

20162142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20162142 is about 4490.2273884515. The cubic root of 20162142 is about 272.1733234273.

Adding to 20162142 its reverse (24126102), we get a palindrome (44288244).

The spelling of 20162142 in words is "twenty million, one hundred sixty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 91 99 117 126 143 154 182 189 198 231 234 273 286 297 351 373 378 429 462 546 594 693 702 746 819 858 1001 1119 1287 1386 1638 2002 2079 2238 2457 2574 2611 3003 3357 3861 4103 4158 4849 4914 5222 6006 6714 7722 7833 8206 9009 9698 10071 12309 14547 15666 18018 20142 23499 24618 27027 28721 29094 33943 36927 43641 46998 53339 54054 57442 67886 70497 73854 86163 87282 101829 106678 110781 130923 140994 160017 172326 203658 221562 258489 261846 305487 320034 373373 480051 516978 610974 746746 775467 916461 960102 1120119 1440153 1550934 1832922 2240238 2880306 3360357 6720714 10081071 20162142