Search a number
-
+
20206500 = 2235319709
BaseRepresentation
bin100110100010…
…1001110100100
31102000121002220
41031011032210
520133102000
62001032340
7333516036
oct115051644
942017086
1020206500
1110451496
1269256b0
134256412
14297dc56
151b921a0
hex13453a4

20206500 has 96 divisors (see below), whose sum is σ = 62025600. Its totient is φ = 5097600.

The previous prime is 20206493. The next prime is 20206577. The reversal of 20206500 is 560202.

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 20206500.

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 31 ways as a sum of consecutive naturals, for example, 28146 + ... + 28854.

It is an arithmetic number, because the mean of its divisors is an integer number (646100).

Almost surely, 220206500 is an apocalyptic number.

20206500 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 20206500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31012800).

20206500 is an abundant number, since it is smaller than the sum of its proper divisors (41819100).

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

20206500 is a wasteful number, since it uses less digits than its factorization.

20206500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20206500 is about 4495.1640681960. The cubic root of 20206500 is about 272.3727767930.

Adding to 20206500 its reverse (560202), we get a palindrome (20766702).

It can be divided in two parts, 20206 and 500, that added together give a triangular number (20706 = T203).

The spelling of 20206500 in words is "twenty million, two hundred six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 375 380 475 500 570 709 750 950 1140 1418 1425 1500 1900 2127 2375 2836 2850 3545 4254 4750 5700 7090 7125 8508 9500 10635 13471 14180 14250 17725 21270 26942 28500 35450 40413 42540 53175 53884 67355 70900 80826 88625 106350 134710 161652 177250 202065 212700 265875 269420 336775 354500 404130 531750 673550 808260 1010325 1063500 1347100 1683875 2020650 3367750 4041300 5051625 6735500 10103250 20206500