Base | Representation |
---|---|
bin | 1100010001001011100 |
3 | 202102110100 |
4 | 1202021130 |
5 | 100331022 |
6 | 12341100 |
7 | 3263022 |
oct | 1421134 |
9 | 672410 |
10 | 402012 |
11 | 255046 |
12 | 174790 |
13 | 110ca0 |
14 | a6712 |
15 | 7e1ac |
hex | 6225c |
402012 has 36 divisors (see below), whose sum is σ = 1095640. Its totient is φ = 123552.
The previous prime is 401993. The next prime is 402023. The reversal of 402012 is 210204.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×4020122 = 323227296288, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 401985 and 402003.
It is a congruent number.
It is an unprimeable number.
402012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39 + ... + 897.
2402012 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 402012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547820).
402012 is an abundant number, since it is smaller than the sum of its proper divisors (693628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
402012 is a wasteful number, since it uses less digits than its factorization.
402012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 882 (or 877 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 402012 is about 634.0441624997. The cubic root of 402012 is about 73.8039612741.
Adding to 402012 its reverse (210204), we get a palindrome (612216).
The spelling of 402012 in words is "four hundred two thousand, twelve", and thus it is an iban number.
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