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2520468 = 2232531321
BaseRepresentation
bin1001100111010110010100
311202001102200
421213112110
51121123333
6130004500
730265206
oct11472624
94661380
102520468
111471735
12a16730
136a3302
14498776
1534bc13
hex267594

2520468 has 36 divisors (see below), whose sum is σ = 6496308. Its totient is φ = 823680.

The previous prime is 2520457. The next prime is 2520481. The reversal of 2520468 is 8640252.

2520468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2108304 + 412164 = 1452^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1248 + ... + 2568.

It is an arithmetic number, because the mean of its divisors is an integer number (180453).

22520468 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 2520468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248154).

2520468 is an abundant number, since it is smaller than the sum of its proper divisors (3975840).

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

2520468 is a wasteful number, since it uses less digits than its factorization.

2520468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2520468 is about 1587.5981859400. The cubic root of 2520468 is about 136.0902659117.

The spelling of 2520468 in words is "two million, five hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1321 1908 2642 3963 5284 7926 11889 15852 23778 47556 70013 140026 210039 280052 420078 630117 840156 1260234 2520468