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30320420 = 22513277421
BaseRepresentation
bin111001110101…
…0011100100100
32010001102210112
41303222130210
530230223140
63001512152
7515501504
oct163523444
963042715
1030320420
111612a1a9
12a1a2658
136387aa0
144053a04
1529ddc65
hex1cea724

30320420 has 48 divisors (see below), whose sum is σ = 68981808. Its totient is φ = 11128320.

The previous prime is 30320393. The next prime is 30320453. The reversal of 30320420 is 2402303.

It can be written as a sum of positive squares in 8 ways, for example, as 15697444 + 14622976 = 3962^2 + 3824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30320395 and 30320404.

It is an unprimeable number.

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, 71810 + ... + 72230.

It is an arithmetic number, because the mean of its divisors is an integer number (1437121).

Almost surely, 230320420 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 30320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34490904).

30320420 is an abundant number, since it is smaller than the sum of its proper divisors (38661388).

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

30320420 is a wasteful number, since it uses less digits than its factorization.

30320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 30320420 is about 5506.3980967598. The cubic root of 30320420 is about 311.8255791479.

Adding to 30320420 its reverse (2402303), we get a palindrome (32722723).

The spelling of 30320420 in words is "thirty million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 277 421 554 842 1108 1385 1684 2105 2770 3601 4210 5473 5540 7202 8420 10946 14404 18005 21892 27365 36010 54730 72020 109460 116617 233234 466468 583085 1166170 1516021 2332340 3032042 6064084 7580105 15160210 30320420