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4121016 = 2332931191
BaseRepresentation
bin1111101110000110111000
321202100222020
433232012320
52023333031
6224154440
750012424
oct17560670
97670866
104121016
1123651a9
121468a20
13b13993
14793b84
15566096
hex3ee1b8

4121016 has 64 divisors (see below), whose sum is σ = 11059200. Its totient is φ = 1276800.

The previous prime is 4121011. The next prime is 4121017. The reversal of 4121016 is 6101214.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 4120986 and 4121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121011) 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 15 ways as a sum of consecutive naturals, for example, 21481 + ... + 21671.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

Almost surely, 24121016 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 4121016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529600).

4121016 is an abundant number, since it is smaller than the sum of its proper divisors (6938184).

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

4121016 is a wasteful number, since it uses less digits than its factorization.

4121016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

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

The square root of 4121016 is about 2030.0285712275. The cubic root of 4121016 is about 160.3250682857.

The spelling of 4121016 in words is "four million, one hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 191 232 248 348 372 382 573 696 744 764 899 1146 1528 1798 2292 2697 3596 4584 5394 5539 5921 7192 10788 11078 11842 16617 17763 21576 22156 23684 33234 35526 44312 47368 66468 71052 132936 142104 171709 343418 515127 686836 1030254 1373672 2060508 4121016