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5305040 = 245135101
BaseRepresentation
bin10100001111001011010000
3100222112010222
4110033023100
52324230130
6305412212
763043406
oct24171320
910875128
105305040
112aa3834
12193a068
1311398a0
149c1476
156ebce5
hex50f2d0

5305040 has 40 divisors (see below), whose sum is σ = 13285608. Its totient is φ = 1958400.

The previous prime is 5305033. The next prime is 5305063. The reversal of 5305040 is 405035.

It can be written as a sum of positive squares in 4 ways, for example, as 341056 + 4963984 = 584^2 + 2228^2 .

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1511 + ... + 3590.

Almost surely, 25305040 is an apocalyptic number.

It is an amenable number.

5305040 is an abundant number, since it is smaller than the sum of its proper divisors (7980568).

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

5305040 is a wasteful number, since it uses less digits than its factorization.

5305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 5305040 is about 2303.2672445897. The cubic root of 5305040 is about 174.4065887026.

The spelling of 5305040 in words is "five million, three hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 5101 10202 20404 25505 40808 51010 66313 81616 102020 132626 204040 265252 331565 408080 530504 663130 1061008 1326260 2652520 5305040