Search a number
-
+
20330020 = 2253783331
BaseRepresentation
bin100110110001…
…1011000100100
31102020212112201
41031203120210
520201030040
62003424244
7334542124
oct115433044
942225481
1020330020
1110526277
126985084
13429a6c9
1429b2c84
151bb8a9a
hex1363624

20330020 has 48 divisors (see below), whose sum is σ = 44509248. Its totient is φ = 7793280.

The previous prime is 20329993. The next prime is 20330047. The reversal of 20330020 is 2003302.

It is an interprime number because it is at equal distance from previous prime (20329993) and next prime (20330047).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20329979 and 20330006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61255 + ... + 61585.

It is an arithmetic number, because the mean of its divisors is an integer number (927276).

Almost surely, 220330020 is an apocalyptic number.

20330020 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 20330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22254624).

20330020 is an abundant number, since it is smaller than the sum of its proper divisors (24179228).

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

20330020 is a wasteful number, since it uses less digits than its factorization.

20330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 20330020 is about 4508.8823448833. The cubic root of 20330020 is about 272.9266441846.

Adding to 20330020 its reverse (2003302), we get a palindrome (22333322).

The spelling of 20330020 in words is "twenty million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 83 148 166 185 331 332 370 415 662 740 830 1324 1655 1660 3071 3310 6142 6620 12247 12284 15355 24494 27473 30710 48988 54946 61235 61420 109892 122470 137365 244940 274730 549460 1016501 2033002 4066004 5082505 10165010 20330020