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4264240 = 245151353
BaseRepresentation
bin10000010001000100110000
322000122102211
4100101010300
52042423430
6231221504
751150121
oct20210460
98018384
104264240
112452872
121517894
13b63c26
147d0048
1559372a
hex411130

4264240 has 40 divisors (see below), whose sum is σ = 10008288. Its totient is φ = 1689600.

The previous prime is 4264237. The next prime is 4264259. The reversal of 4264240 is 424624.

It is a tau number, because it is divible by the number of its divisors (40).

It is a d-powerful number, because it can be written as 45 + 25 + 64 + 48 + 211 + 411 + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11904 + ... + 12256.

Almost surely, 24264240 is an apocalyptic number.

4264240 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 4264240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004144).

4264240 is an abundant number, since it is smaller than the sum of its proper divisors (5744048).

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

4264240 is a wasteful number, since it uses less digits than its factorization.

4264240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4264240 is about 2065.0036319581. The cubic root of 4264240 is about 162.1612984739.

Adding to 4264240 its reverse (424624), we get a palindrome (4688864).

The spelling of 4264240 in words is "four million, two hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 353 604 706 755 1208 1412 1510 1765 2416 2824 3020 3530 5648 6040 7060 12080 14120 28240 53303 106606 213212 266515 426424 533030 852848 1066060 2132120 4264240