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4164420 = 22351319281
BaseRepresentation
bin1111111000101101000100
321211120111210
433320231010
52031230140
6225131420
750253111
oct17705504
97746453
104164420
112394877
121489b70
13b2a670
147a5908
15573d80
hex3f8b44

4164420 has 96 divisors (see below), whose sum is σ = 13265280. Its totient is φ = 967680.

The previous prime is 4164379. The next prime is 4164427. The reversal of 4164420 is 244614.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4164427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14680 + ... + 14960.

It is an arithmetic number, because the mean of its divisors is an integer number (138180).

Almost surely, 24164420 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 4164420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632640).

4164420 is an abundant number, since it is smaller than the sum of its proper divisors (9100860).

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

4164420 is a wasteful number, since it uses less digits than its factorization.

4164420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

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

The square root of 4164420 is about 2040.6910594208. The cubic root of 4164420 is about 160.8859704636.

The spelling of 4164420 in words is "four million, one hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 281 285 380 390 494 562 570 741 780 843 988 1124 1140 1235 1405 1482 1686 2470 2810 2964 3372 3653 3705 4215 4940 5339 5620 7306 7410 8430 10678 10959 14612 14820 16017 16860 18265 21356 21918 26695 32034 36530 43836 53390 54795 64068 69407 73060 80085 106780 109590 138814 160170 208221 219180 277628 320340 347035 416442 694070 832884 1041105 1388140 2082210 4164420