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402012 = 223213859
BaseRepresentation
bin1100010001001011100
3202102110100
41202021130
5100331022
612341100
73263022
oct1421134
9672410
10402012
11255046
12174790
13110ca0
14a6712
157e1ac
hex6225c

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.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 859 1718 2577 3436 5154 7731 10308 11167 15462 22334 30924 33501 44668 67002 100503 134004 201006 402012