Search a number
-
+
4109886 = 2331121737
BaseRepresentation
bin1111101011011000111110
321201210201000
433223120332
52023004021
6224031130
746635114
oct17533076
97653630
104109886
112357900
1214624a6
13b0b8b1
1478dab4
15562b26
hex3eb63e

4109886 has 96 divisors (see below), whose sum is σ = 10916640. Its totient is φ = 1140480.

The previous prime is 4109879. The next prime is 4109891. The reversal of 4109886 is 6889014.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4109886.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111060 + ... + 111096.

It is an arithmetic number, because the mean of its divisors is an integer number (113715).

Almost surely, 24109886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4109886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458320).

4109886 is an abundant number, since it is smaller than the sum of its proper divisors (6806754).

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

4109886 is a wasteful number, since it uses less digits than its factorization.

4109886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4109886 is about 2027.2853770498. The cubic root of 4109886 is about 160.1806033551.

It can be divided in two parts, 410 and 9886, that added together give a triangular number (10296 = T143).

The spelling of 4109886 in words is "four million, one hundred nine thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 37 51 54 66 74 99 102 111 121 153 187 198 222 242 297 306 333 363 374 407 459 561 594 629 666 726 814 918 999 1089 1122 1221 1258 1683 1887 1998 2057 2178 2442 3267 3366 3663 3774 4114 4477 5049 5661 6171 6534 6919 7326 8954 10098 10989 11322 12342 13431 13838 16983 18513 20757 21978 26862 33966 37026 40293 41514 55539 62271 76109 80586 111078 120879 124542 152218 186813 228327 241758 373626 456654 684981 1369962 2054943 4109886