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30054420 = 223251143353
BaseRepresentation
bin111001010100…
…1100000010100
32002112220220200
41302221200110
530143220140
62552100500
7513313134
oct162514024
962486820
1030054420
1115a68370
12a094730
1362c39a6
143dc4ac4
15298a030
hex1ca9814

30054420 has 144 divisors (see below), whose sum is σ = 102053952. Its totient is φ = 7096320.

The previous prime is 30054389. The next prime is 30054421. The reversal of 30054420 is 2445003.

It is a happy number.

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 = 30054393 and 30054402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30054421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84964 + ... + 85316.

It is an arithmetic number, because the mean of its divisors is an integer number (708708).

Almost surely, 230054420 is an apocalyptic number.

30054420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30054420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51026976).

30054420 is an abundant number, since it is smaller than the sum of its proper divisors (71999532).

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

30054420 is a wasteful number, since it uses less digits than its factorization.

30054420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 417 counting only the distinct ones).

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

The square root of 30054420 is about 5482.1911677722. The cubic root of 30054420 is about 310.9110210947.

Adding to 30054420 its reverse (2445003), we get a palindrome (32499423).

The spelling of 30054420 in words is "thirty million, fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 353 387 396 430 473 495 516 645 660 706 774 860 946 990 1059 1290 1412 1419 1548 1765 1892 1935 1980 2118 2365 2580 2838 3177 3530 3870 3883 4236 4257 4730 5295 5676 6354 7060 7095 7740 7766 8514 9460 10590 11649 12708 14190 15179 15532 15885 17028 19415 21180 21285 23298 28380 30358 31770 34947 38830 42570 45537 46596 58245 60716 63540 69894 75895 77660 85140 91074 116490 136611 139788 151790 166969 174735 182148 227685 232980 273222 303580 333938 349470 455370 500907 546444 667876 683055 698940 834845 910740 1001814 1366110 1502721 1669690 2003628 2504535 2732220 3005442 3339380 5009070 6010884 7513605 10018140 15027210 30054420