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5305020 = 2235717743
BaseRepresentation
bin10100001111001010111100
3100222112010020
4110033022330
52324230040
6305412140
763043350
oct24171274
910875106
105305020
112aa3816
12193a050
131139886
149c1460
156ebcd0
hex50f2bc

5305020 has 96 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 1139712.

The previous prime is 5305007. The next prime is 5305033. The reversal of 5305020 is 205035.

It is an interprime number because it is at equal distance from previous prime (5305007) and next prime (5305033).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6769 + ... + 7511.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 25305020 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 5305020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

5305020 is an abundant number, since it is smaller than the sum of its proper divisors (12693828).

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

5305020 is a wasteful number, since it uses less digits than its factorization.

5305020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 5305020 is about 2303.2629029271. The cubic root of 5305020 is about 174.4063695314.

Adding to 5305020 its sum of digits (15), we get a palindrome (5305035).

The spelling of 5305020 in words is "five million, three hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 743 1020 1190 1428 1486 1785 2229 2380 2972 3570 3715 4458 5201 7140 7430 8916 10402 11145 12631 14860 15603 20804 22290 25262 26005 31206 37893 44580 50524 52010 62412 63155 75786 78015 88417 104020 126310 151572 156030 176834 189465 252620 265251 312060 353668 378930 442085 530502 757860 884170 1061004 1326255 1768340 2652510 5305020