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403020030420 = 223257245693881
BaseRepresentation
bin1011101110101011101…
…11011010000111010100
31102112021011021210220100
411313111313122013110
523100341111433140
6505051141534100
741055132510300
oct5672567320724
91375234253810
10403020030420
11145a13333a07
1266136714330
132c00a216aa7
1415713300d00
15a73bae7530
hex5dd5dda1d4

403020030420 has 108 divisors (see below), whose sum is σ = 1422084995604. Its totient is φ = 92118862080.

The previous prime is 403020030419. The next prime is 403020030463. The reversal of 403020030420 is 24030020304.

403020030420 is a `hidden beast` number, since 40 + 3 + 0 + 200 + 3 + 0 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118235573316 + 284784457104 = 343854^2 + 533652^2 .

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 = 403020030393 and 403020030402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22838121 + ... + 22855760.

It is an arithmetic number, because the mean of its divisors is an integer number (13167453663).

Almost surely, 2403020030420 is an apocalyptic number.

It is an amenable number.

403020030420 is an abundant number, since it is smaller than the sum of its proper divisors (1019064965184).

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

403020030420 is a wasteful number, since it uses less digits than its factorization.

403020030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45693910 (or 45693898 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 403020030420 its reverse (24030020304), we get a palindrome (427050050724).

The spelling of 403020030420 in words is "four hundred three billion, twenty million, thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 45693881 91387762 137081643 182775524 228469405 274163286 319857167 411244929 456938810 548326572 639714334 685408215 822489858 913877620 959571501 1279428668 1370816430 1599285835 1644979716 1919143002 2056224645 2239000169 2741632860 2878714503 3198571670 3838286004 4112449290 4478000338 4797857505 5757429006 6397143340 6717000507 8224898580 8956000676 9595715010 11195000845 11514858012 13434001014 14393572515 19191430020 20151001521 22390001690 26868002028 28787145030 33585002535 40302003042 44780003380 57574290060 67170005070 80604006084 100755007605 134340010140 201510015210 403020030420