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20852500 = 225419439
BaseRepresentation
bin100111110001…
…0111100010100
31110020102020211
41033202330110
520314240000
62022535204
7342146314
oct117427424
943212224
1020852500
1110852879
126b97504
134421476
142aab444
151c6d7ba
hex13e2f14

20852500 has 60 divisors (see below), whose sum is σ = 48109600. Its totient is φ = 7884000.

The previous prime is 20852473. The next prime is 20852501. The reversal of 20852500 is 525802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20852501) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 47281 + ... + 47719.

Almost surely, 220852500 is an apocalyptic number.

20852500 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 20852500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24054800).

20852500 is an abundant number, since it is smaller than the sum of its proper divisors (27257100).

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

20852500 is a wasteful number, since it uses less digits than its factorization.

20852500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 20852500 is about 4566.4537663268. The cubic root of 20852500 is about 275.2449607957.

The spelling of 20852500 in words is "twenty million, eight hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 439 475 500 625 878 950 1250 1756 1900 2195 2375 2500 4390 4750 8341 8780 9500 10975 11875 16682 21950 23750 33364 41705 43900 47500 54875 83410 109750 166820 208525 219500 274375 417050 548750 834100 1042625 1097500 2085250 4170500 5213125 10426250 20852500