Search a number
-
+
20053500 = 2235329461
BaseRepresentation
bin100110001111…
…1110111111100
31101201211020020
41030133313330
520113203000
61553452140
7332311005
oct114376774
941654206
1020053500
1110357545
126871050
13420189c
1429401ac
151b61ba0
hex131fdfc

20053500 has 96 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 5152000.

The previous prime is 20053483. The next prime is 20053513. The reversal of 20053500 is 535002.

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 20053500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43270 + ... + 43730.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 220053500 is an apocalyptic number.

20053500 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 20053500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270240).

20053500 is an abundant number, since it is smaller than the sum of its proper divisors (40486980).

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

20053500 is a wasteful number, since it uses less digits than its factorization.

20053500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 20053500 is about 4478.1134420646. The cubic root of 20053500 is about 271.6835817354.

Adding to 20053500 its reverse (535002), we get a palindrome (20588502).

The spelling of 20053500 in words is "twenty million, fifty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 125 145 150 174 250 290 300 348 375 435 461 500 580 725 750 870 922 1383 1450 1500 1740 1844 2175 2305 2766 2900 3625 4350 4610 5532 6915 7250 8700 9220 10875 11525 13369 13830 14500 21750 23050 26738 27660 34575 40107 43500 46100 53476 57625 66845 69150 80214 115250 133690 138300 160428 172875 200535 230500 267380 334225 345750 401070 668450 691500 802140 1002675 1336900 1671125 2005350 3342250 4010700 5013375 6684500 10026750 20053500