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30230420 = 225111759137
BaseRepresentation
bin111001101010…
…0011110010100
32002212212100012
41303110132110
530214333140
62555535352
7514645223
oct163243624
962785305
1030230420
1116078620
12a15a558
136355b2c
14402ccba
1529c2265
hex1cd4794

30230420 has 96 divisors (see below), whose sum is σ = 75116160. Its totient is φ = 10096640.

The previous prime is 30230413. The next prime is 30230423. The reversal of 30230420 is 2403203.

It is a junction number, because it is equal to n+sod(n) for n = 30230395 and 30230404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30230423) 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 31 ways as a sum of consecutive naturals, for example, 220592 + ... + 220728.

It is an arithmetic number, because the mean of its divisors is an integer number (782460).

Almost surely, 230230420 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 30230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37558080).

30230420 is an abundant number, since it is smaller than the sum of its proper divisors (44885740).

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

30230420 is a wasteful number, since it uses less digits than its factorization.

30230420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

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

The square root of 30230420 is about 5498.2197118704. The cubic root of 30230420 is about 311.5167431035.

Adding to 30230420 its reverse (2403203), we get a palindrome (32633623).

The spelling of 30230420 in words is "thirty million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 59 68 85 110 118 137 170 187 220 236 274 295 340 374 548 590 649 685 748 935 1003 1180 1298 1370 1507 1870 2006 2329 2596 2740 3014 3245 3740 4012 4658 5015 6028 6490 7535 8083 9316 10030 11033 11645 12980 15070 16166 20060 22066 23290 25619 30140 32332 40415 44132 46580 51238 55165 80830 88913 102476 110330 128095 137411 161660 177826 220660 256190 274822 355652 444565 512380 549644 687055 889130 1374110 1511521 1778260 2748220 3023042 6046084 7557605 15115210 30230420