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5342420 = 2251719827
BaseRepresentation
bin10100011000010011010100
3101001102102102
4110120103110
52331424140
6310301232
763260366
oct24302324
911042372
105342420
113019926
121957818
1311508c5
149d0d36
15707e15
hex5184d4

5342420 has 48 divisors (see below), whose sum is σ = 12519360. Its totient is φ = 1903104.

The previous prime is 5342399. The next prime is 5342431. The reversal of 5342420 is 242435.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5342392 and 5342401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6047 + ... + 6873.

It is an arithmetic number, because the mean of its divisors is an integer number (260820).

Almost surely, 25342420 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 5342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259680).

5342420 is an abundant number, since it is smaller than the sum of its proper divisors (7176940).

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

5342420 is a wasteful number, since it uses less digits than its factorization.

5342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 5342420 is about 2311.3675605580. The cubic root of 5342420 is about 174.8152608306.

Adding to 5342420 its reverse (242435), we get a palindrome (5584855).

It can be divided in two parts, 53 and 42420, that multiplied together give a triangular number (2248260 = T2120).

The spelling of 5342420 in words is "five million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 827 1292 1615 1654 3230 3308 4135 6460 8270 14059 15713 16540 28118 31426 56236 62852 70295 78565 140590 157130 267121 281180 314260 534242 1068484 1335605 2671210 5342420