Search a number
-
+
20203020 = 223554157
BaseRepresentation
bin100110100010…
…0011000001100
31102000102100000
41031010120030
520132444040
62001004300
7333502635
oct115043014
942012300
1020203020
1110449912
126923690
134254966
14297c88c
151b91130
hex134460c

20203020 has 72 divisors (see below), whose sum is σ = 63567504. Its totient is φ = 5386176.

The previous prime is 20203003. The next prime is 20203049. The reversal of 20203020 is 2030202.

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 = 20202993 and 20203011.

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, 2782 + ... + 6938.

It is an arithmetic number, because the mean of its divisors is an integer number (882882).

Almost surely, 220203020 is an apocalyptic number.

20203020 is a gapful number since it is divisible by the number (20) 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 20203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31783752).

20203020 is an abundant number, since it is smaller than the sum of its proper divisors (43364484).

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

20203020 is a wasteful number, since it uses less digits than its factorization.

20203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4167 counting only the distinct ones).

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

The square root of 20203020 is about 4494.7769688829. The cubic root of 20203020 is about 272.3571397178.

Adding to 20203020 its reverse (2030202), we get a palindrome (22233222).

The spelling of 20203020 in words is "twenty million, two hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4157 4860 8314 12471 16628 20785 24942 37413 41570 49884 62355 74826 83140 112239 124710 149652 187065 224478 249420 336717 374130 448956 561195 673434 748260 1010151 1122390 1346868 1683585 2020302 2244780 3367170 4040604 5050755 6734340 10101510 20203020