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5342220 = 2233513761
BaseRepresentation
bin10100011000010000001100
3101001102011000
4110120100030
52331422340
6310300300
763256662
oct24302014
911042130
105342220
113019764
121957690
1311507a0
149d0c32
15707d30
hex51840c

5342220 has 96 divisors (see below), whose sum is σ = 17922240. Its totient is φ = 1313280.

The previous prime is 5342219. The next prime is 5342221. The reversal of 5342220 is 222435.

It is an interprime number because it is at equal distance from previous prime (5342219) and next prime (5342221).

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 = 5342193 and 5342202.

It is not an unprimeable number, because it can be changed into a prime (5342221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6640 + ... + 7400.

It is an arithmetic number, because the mean of its divisors is an integer number (186690).

Almost surely, 25342220 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 5342220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961120).

5342220 is an abundant number, since it is smaller than the sum of its proper divisors (12580020).

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

5342220 is a wasteful number, since it uses less digits than its factorization.

5342220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5342220 is about 2311.3242957231. The cubic root of 5342220 is about 174.8130793293.

Adding to 5342220 its reverse (222435), we get a palindrome (5564655).

It can be divided in two parts, 5 and 342220, that added together give a square (342225 = 5852).

The spelling of 5342220 in words is "five million, three hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 761 780 1170 1404 1522 1755 2283 2340 3044 3510 3805 4566 6849 7020 7610 9132 9893 11415 13698 15220 19786 20547 22830 27396 29679 34245 39572 41094 45660 49465 59358 68490 82188 89037 98930 102735 118716 136980 148395 178074 197860 205470 267111 296790 356148 410940 445185 534222 593580 890370 1068444 1335555 1780740 2671110 5342220