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4124406 = 23112131923
BaseRepresentation
bin1111101110111011110110
321202112121210
433232323312
52023440111
6224222250
750025336
oct17567366
97675553
104124406
112367800
12146a986
13b153a0
147950c6
155670a6
hex3eeef6

4124406 has 96 divisors (see below), whose sum is σ = 10725120. Its totient is φ = 1045440.

The previous prime is 4124381. The next prime is 4124411. The reversal of 4124406 is 6044214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179311 + ... + 179333.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

Almost surely, 24124406 is an apocalyptic number.

4124406 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 4124406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362560).

4124406 is an abundant number, since it is smaller than the sum of its proper divisors (6600714).

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

4124406 is a wasteful number, since it uses less digits than its factorization.

4124406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4124406 is about 2030.8633632030. The cubic root of 4124406 is about 160.3690180479.

The spelling of 4124406 in words is "four million, one hundred twenty-four thousand, four hundred six".

Divisors: 1 2 3 6 11 13 19 22 23 26 33 38 39 46 57 66 69 78 114 121 138 143 209 242 247 253 286 299 363 418 429 437 494 506 598 627 726 741 759 858 874 897 1254 1311 1482 1518 1573 1794 2299 2622 2717 2783 3146 3289 4598 4719 4807 5434 5566 5681 6578 6897 8151 8349 9438 9614 9867 11362 13794 14421 16302 16698 17043 19734 28842 29887 34086 36179 52877 59774 62491 72358 89661 105754 108537 124982 158631 179322 187473 217074 317262 374946 687401 1374802 2062203 4124406