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4016112 = 243312699
BaseRepresentation
bin1111010100011111110000
321120001001220
433110133300
52012003422
6222025040
746064532
oct17243760
97501056
104016112
1122a3401
121418180
13aa7cc9
14767852
15544e5c
hex3d47f0

4016112 has 40 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 1295040.

The previous prime is 4016101. The next prime is 4016113. The reversal of 4016112 is 2116104.

It is a super-2 number, since 2×40161122 = 32258311193088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4016091 and 4016100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4016113) 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 7 ways as a sum of consecutive naturals, for example, 139 + ... + 2837.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 24016112 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 4016112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

4016112 is an abundant number, since it is smaller than the sum of its proper divisors (6697488).

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

4016112 is a wasteful number, since it uses less digits than its factorization.

4016112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 4016112 is about 2004.0239519527. The cubic root of 4016112 is about 158.9529547141.

The spelling of 4016112 in words is "four million, sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 2699 5398 8097 10796 16194 21592 32388 43184 64776 83669 129552 167338 251007 334676 502014 669352 1004028 1338704 2008056 4016112