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4013412 = 2231321979
BaseRepresentation
bin1111010011110101100100
321112220100220
433103311210
52011412122
6222004340
746053624
oct17236544
97486326
104013412
1122a1377
1214166b0
13aa6a00
14766884
1554425c
hex3d3d64

4013412 has 36 divisors (see below), whose sum is σ = 10145520. Its totient is φ = 1234272.

The previous prime is 4013407. The next prime is 4013419. The reversal of 4013412 is 2143104.

It is a super-2 number, since 2×40134122 = 32214951763488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013391 and 4013400.

It is not an unprimeable number, because it can be changed into a prime (4013419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1039 + ... + 3017.

It is an arithmetic number, because the mean of its divisors is an integer number (281820).

Almost surely, 24013412 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 4013412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072760).

4013412 is an abundant number, since it is smaller than the sum of its proper divisors (6132108).

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

4013412 is a wasteful number, since it uses less digits than its factorization.

4013412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4013412 is about 2003.3501940500. The cubic root of 4013412 is about 158.9173257948.

Adding to 4013412 its reverse (2143104), we get a palindrome (6156516).

The spelling of 4013412 in words is "four million, thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1979 2028 3958 5937 7916 11874 23748 25727 51454 77181 102908 154362 308724 334451 668902 1003353 1337804 2006706 4013412