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4133220 = 2235713757
BaseRepresentation
bin1111110001000101100100
321202222201020
433301011210
52024230340
6224331140
750063130
oct17610544
97688636
104133220
112373393
121473ab0
13b193c0
147983c0
155699d0
hex3f1164

4133220 has 96 divisors (see below), whose sum is σ = 14262528. Its totient is φ = 870912.

The previous prime is 4133219. The next prime is 4133237. The reversal of 4133220 is 223314.

4133220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4133220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5082 + ... + 5838.

It is an arithmetic number, because the mean of its divisors is an integer number (148568).

Almost surely, 24133220 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 4133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131264).

4133220 is an abundant number, since it is smaller than the sum of its proper divisors (10129308).

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

4133220 is a wasteful number, since it uses less digits than its factorization.

4133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4133220 is about 2033.0322181412. The cubic root of 4133220 is about 160.4831748359.

Adding to 4133220 its reverse (223314), we get a palindrome (4356534).

The spelling of 4133220 in words is "four million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 757 780 910 1092 1365 1514 1820 2271 2730 3028 3785 4542 5299 5460 7570 9084 9841 10598 11355 15140 15897 19682 21196 22710 26495 29523 31794 39364 45420 49205 52990 59046 63588 68887 79485 98410 105980 118092 137774 147615 158970 196820 206661 275548 295230 317940 344435 413322 590460 688870 826644 1033305 1377740 2066610 4133220