Base | Representation |
---|---|
bin | 100110011101… |
… | …0011001011110 |
3 | 1101221100021000 |
4 | 1030322121132 |
5 | 20130142032 |
6 | 2000051130 |
7 | 333242520 |
oct | 114723136 |
9 | 41840230 |
10 | 20162142 |
11 | 10421130 |
12 | 6903aa6 |
13 | 423c180 |
14 | 296ba10 |
15 | 1b83e7c |
hex | 133a65e |
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".
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