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4204420 = 2251129659
BaseRepresentation
bin10000000010011110000100
321220121101021
4100002132010
52034020140
6230040524
750510533
oct20023604
97817337
104204420
112411930
1214a9144
13b4292c
147b631a
15580b4a
hex402784

4204420 has 48 divisors (see below), whose sum is σ = 9979200. Its totient is φ = 1473920.

The previous prime is 4204379. The next prime is 4204429. The reversal of 4204420 is 244024.

It is a junction number, because it is equal to n+sod(n) for n = 4204394 and 4204403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6051 + ... + 6709.

It is an arithmetic number, because the mean of its divisors is an integer number (207900).

Almost surely, 24204420 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 4204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989600).

4204420 is an abundant number, since it is smaller than the sum of its proper divisors (5774780).

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

4204420 is a wasteful number, since it uses less digits than its factorization.

4204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4204420 is about 2050.4682392078. The cubic root of 4204420 is about 161.3994428123.

Adding to 4204420 its reverse (244024), we get a palindrome (4448444).

It can be divided in two parts, 4204 and 420, that added together give a square (4624 = 682).

The spelling of 4204420 in words is "four million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 659 1276 1318 1595 2636 3190 3295 6380 6590 7249 13180 14498 19111 28996 36245 38222 72490 76444 95555 144980 191110 210221 382220 420442 840884 1051105 2102210 4204420