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5330960 = 245371801
BaseRepresentation
bin10100010101100000010000
3101000211200222
4110111200100
52331042320
6310132212
763212105
oct24254020
911024628
105330960
113011258
121951068
13114861b
149caaac
15704825
hex515810

5330960 has 40 divisors (see below), whose sum is σ = 12736536. Its totient is φ = 2073600.

The previous prime is 5330957. The next prime is 5330981. The reversal of 5330960 is 690335.

It can be written as a sum of positive squares in 4 ways, for example, as 595984 + 4734976 = 772^2 + 2176^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 2060 + ... + 3860.

Almost surely, 25330960 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 5330960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368268).

5330960 is an abundant number, since it is smaller than the sum of its proper divisors (7405576).

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

5330960 is a wasteful number, since it uses less digits than its factorization.

5330960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 5330960 is about 2308.8871778413. The cubic root of 5330960 is about 174.6901728816.

It can be divided in two parts, 53 and 30960, that added together give a palindrome (31013).

The spelling of 5330960 in words is "five million, three hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 1801 2960 3602 7204 9005 14408 18010 28816 36020 66637 72040 133274 144080 266548 333185 533096 666370 1066192 1332740 2665480 5330960