Search a number
-
+
4264120 = 235797157
BaseRepresentation
bin10000010001000010111000
322000122021101
4100101002320
52042422440
6231221144
751146560
oct20210270
98018241
104264120
112452773
1215177b4
13b63b63
147cdda0
1559369a
hex4110b8

4264120 has 64 divisors (see below), whose sum is σ = 11148480. Its totient is φ = 1437696.

The previous prime is 4264109. The next prime is 4264157. The reversal of 4264120 is 214624.

It is a congruent number.

It is an unprimeable number.

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, 27082 + ... + 27238.

It is an arithmetic number, because the mean of its divisors is an integer number (174195).

Almost surely, 24264120 is an apocalyptic number.

4264120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574240).

4264120 is an abundant number, since it is smaller than the sum of its proper divisors (6884360).

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

4264120 is a wasteful number, since it uses less digits than its factorization.

4264120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4264120 is about 2064.9745761147. The cubic root of 4264120 is about 162.1597773323.

Adding to 4264120 its reverse (214624), we get a palindrome (4478744).

The spelling of 4264120 in words is "four million, two hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 157 194 280 314 388 485 628 679 776 785 970 1099 1256 1358 1570 1940 2198 2716 3140 3395 3880 4396 5432 5495 6280 6790 8792 10990 13580 15229 21980 27160 30458 43960 60916 76145 106603 121832 152290 213206 304580 426412 533015 609160 852824 1066030 2132060 4264120