Search a number
-
+
30202020 = 22325198831
BaseRepresentation
bin111001100110…
…1100010100100
32002211102101100
41303031202210
530212431040
62555200100
7514466352
oct163154244
962742340
1030202020
1116059252
12a146030
136345c24
1440227d2
1529b8b30
hex1ccd8a4

30202020 has 72 divisors (see below), whose sum is σ = 96445440. Its totient is φ = 7629120.

The previous prime is 30202019. The next prime is 30202049. The reversal of 30202020 is 2020203.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 30201993 and 30202011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996 + ... + 7835.

It is an arithmetic number, because the mean of its divisors is an integer number (1339520).

Almost surely, 230202020 is an apocalyptic number.

30202020 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 30202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48222720).

30202020 is an abundant number, since it is smaller than the sum of its proper divisors (66243420).

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

30202020 is a wasteful number, since it uses less digits than its factorization.

30202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8865 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 30202020 is about 5495.6364508581. The cubic root of 30202020 is about 311.4191609615.

Adding to 30202020 its reverse (2020203), we get a palindrome (32222223).

The spelling of 30202020 in words is "thirty million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 8831 17662 26493 35324 44155 52986 79479 88310 105972 132465 158958 167789 176620 264930 317916 335578 397395 503367 529860 671156 794790 838945 1006734 1510101 1589580 1677890 2013468 2516835 3020202 3355780 5033670 6040404 7550505 10067340 15101010 30202020