Search a number
-
+
20304600 = 2335243787
BaseRepresentation
bin100110101110…
…1001011011000
31102012120200020
41031131023120
520144221400
62003110440
7334405041
oct115351330
942176606
1020304600
1110509168
126972420
13428bc74
1429a78c8
151bb12a0
hex135d2d8

20304600 has 96 divisors (see below), whose sum is σ = 64489920. Its totient is φ = 5281920.

The previous prime is 20304589. The next prime is 20304617. The reversal of 20304600 is 640302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20304600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25407 + ... + 26193.

It is an arithmetic number, because the mean of its divisors is an integer number (671770).

Almost surely, 220304600 is an apocalyptic number.

20304600 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 20304600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32244960).

20304600 is an abundant number, since it is smaller than the sum of its proper divisors (44185320).

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

20304600 is a wasteful number, since it uses less digits than its factorization.

20304600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 20304600 is about 4506.0625827878. The cubic root of 20304600 is about 272.8128438554.

Adding to 20304600 its reverse (640302), we get a palindrome (20944902).

The spelling of 20304600 in words is "twenty million, three hundred four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 787 860 1032 1075 1290 1574 1720 2150 2361 2580 3148 3225 3935 4300 4722 5160 6296 6450 7870 8600 9444 11805 12900 15740 18888 19675 23610 25800 31480 33841 39350 47220 59025 67682 78700 94440 101523 118050 135364 157400 169205 203046 236100 270728 338410 406092 472200 507615 676820 812184 846025 1015230 1353640 1692050 2030460 2538075 3384100 4060920 5076150 6768200 10152300 20304600