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4214106 = 235132329
BaseRepresentation
bin10000000100110101011010
321221002200000
4100010311122
52034322411
6230153430
750551011
oct20046532
97832600
104214106
112419136
1214b2876
13b47170
147b9a78
15583956
hex404d5a

4214106 has 96 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1197504.

The previous prime is 4214087. The next prime is 4214117. The reversal of 4214106 is 6014124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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, 145300 + ... + 145328.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 24214106 is an apocalyptic number.

4214106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

4214106 is an abundant number, since it is smaller than the sum of its proper divisors (6793254).

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

4214106 is a wasteful number, since it uses less digits than its factorization.

4214106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4214106 is about 2052.8287800009. The cubic root of 4214106 is about 161.5232899409.

Adding to 4214106 its sum of digits (18), we get a palindrome (4214124).

The spelling of 4214106 in words is "four million, two hundred fourteen thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 23 26 27 29 39 46 54 58 69 78 81 87 117 138 162 174 207 234 243 261 299 351 377 414 486 522 598 621 667 702 754 783 897 1053 1131 1242 1334 1566 1794 1863 2001 2106 2262 2349 2691 3159 3393 3726 4002 4698 5382 5589 6003 6318 6786 7047 8073 8671 10179 11178 12006 14094 16146 17342 18009 20358 24219 26013 30537 36018 48438 52026 54027 61074 72657 78039 91611 108054 145314 156078 162081 183222 234117 324162 468234 702351 1404702 2107053 4214106