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5265104 = 2413171489
BaseRepresentation
bin10100000101011011010000
3100220111100212
4110011123100
52321440404
6304503252
762516105
oct24053320
910814325
105265104
112a76829
12191ab28
131124660
149b0aac
156e006e
hex5056d0

5265104 has 40 divisors (see below), whose sum is σ = 11639880. Its totient is φ = 2285568.

The previous prime is 5265103. The next prime is 5265107. The reversal of 5265104 is 4015625.

It can be written as a sum of positive squares in 4 ways, for example, as 193600 + 5071504 = 440^2 + 2252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5265104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5265103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2792 + ... + 4280.

It is an arithmetic number, because the mean of its divisors is an integer number (290997).

Almost surely, 25265104 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 5265104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819940).

5265104 is an abundant number, since it is smaller than the sum of its proper divisors (6374776).

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

5265104 is a wasteful number, since it uses less digits than its factorization.

5265104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5265104 is about 2294.5814433138. The cubic root of 5265104 is about 173.9678453817.

It can be divided in two parts, 52 and 65104, that added together give a palindrome (65156).

The spelling of 5265104 in words is "five million, two hundred sixty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1489 1768 2978 3536 5956 11912 19357 23824 25313 38714 50626 77428 101252 154856 202504 309712 329069 405008 658138 1316276 2632552 5265104