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5307820 = 2257311223
BaseRepresentation
bin10100001111110110101100
3100222122221221
4110033312230
52324322240
6305433124
763054460
oct24176654
910878857
105307820
112aa5931
12193b7a4
13113ac2b
149c24a0
156eca4a
hex50fdac

5307820 has 48 divisors (see below), whose sum is σ = 13160448. Its totient is φ = 1759680.

The previous prime is 5307811. The next prime is 5307829. The reversal of 5307820 is 287035.

It is an interprime number because it is at equal distance from previous prime (5307811) and next prime (5307829).

It is not an unprimeable number, because it can be changed into a prime (5307829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3729 + ... + 4951.

It is an arithmetic number, because the mean of its divisors is an integer number (274176).

Almost surely, 25307820 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 5307820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580224).

5307820 is an abundant number, since it is smaller than the sum of its proper divisors (7852628).

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

5307820 is a wasteful number, since it uses less digits than its factorization.

5307820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 5307820 is about 2303.8706560916. The cubic root of 5307820 is about 174.4370481430.

The spelling of 5307820 in words is "five million, three hundred seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 1223 2170 2446 4340 4892 6115 8561 12230 17122 24460 34244 37913 42805 75826 85610 151652 171220 189565 265391 379130 530782 758260 1061564 1326955 2653910 5307820