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4682106 = 232111317107
BaseRepresentation
bin10001110111000101111010
322210212122100
4101313011322
52144311411
6244204230
754540312
oct21670572
98725570
104682106
112708810
121699676
13c7c1a0
1489c442
15627456
hex47717a

4682106 has 96 divisors (see below), whose sum is σ = 12737088. Its totient is φ = 1221120.

The previous prime is 4682101. The next prime is 4682129. The reversal of 4682106 is 6012864.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

4682106 is a modest number, since divided by 2106 gives 468 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4682106.

It is not an unprimeable number, because it can be changed into a prime (4682101) 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 47 ways as a sum of consecutive naturals, for example, 43705 + ... + 43811.

It is an arithmetic number, because the mean of its divisors is an integer number (132678).

Almost surely, 24682106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4682106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368544).

4682106 is an abundant number, since it is smaller than the sum of its proper divisors (8054982).

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

4682106 is a wasteful number, since it uses less digits than its factorization.

4682106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4682106 is about 2163.8174599536. The cubic root of 4682106 is about 167.2940187246.

The spelling of 4682106 in words is "four million, six hundred eighty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 33 34 39 51 66 78 99 102 107 117 143 153 187 198 214 221 234 286 306 321 374 429 442 561 642 663 858 963 1122 1177 1287 1326 1391 1683 1819 1926 1989 2354 2431 2574 2782 3366 3531 3638 3978 4173 4862 5457 7062 7293 8346 10593 10914 12519 14586 15301 16371 20009 21186 21879 23647 25038 30602 32742 40018 43758 45903 47294 60027 70941 91806 120054 137709 141882 180081 212823 260117 275418 360162 425646 520234 780351 1560702 2341053 4682106