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5306220 = 2232541719
BaseRepresentation
bin10100001111011101101100
3100222120202200
4110033131230
52324244340
6305421500
763050013
oct24173554
910876680
105306220
112aa4707
12193a890
13113a29a
149c1a7a
156ec330
hex50f76c

5306220 has 72 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1378560.

The previous prime is 5306219. The next prime is 5306221. The reversal of 5306220 is 226035.

It is an interprime number because it is at equal distance from previous prime (5306219) and next prime (5306221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5306193 and 5306202.

It is not an unprimeable number, because it can be changed into a prime (5306221) 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 23 ways as a sum of consecutive naturals, for example, 7021 + ... + 7739.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

Almost surely, 25306220 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 5306220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

5306220 is an abundant number, since it is smaller than the sum of its proper divisors (11204820).

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

5306220 is a wasteful number, since it uses less digits than its factorization.

5306220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5306220 is about 2303.5233882034. The cubic root of 5306220 is about 174.4195188293.

The spelling of 5306220 in words is "five million, three hundred six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 719 738 820 1230 1438 1476 1845 2157 2460 2876 3595 3690 4314 6471 7190 7380 8628 10785 12942 14380 21570 25884 29479 32355 43140 58958 64710 88437 117916 129420 147395 176874 265311 294790 353748 442185 530622 589580 884370 1061244 1326555 1768740 2653110 5306220