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20114500 = 225372821
BaseRepresentation
bin100110010111…
…0110001000100
31101211220220111
41030232301010
520122131000
61555042404
7332653600
oct114566104
941756814
1020114500
111039935a
1268a0404
134223593
142958500
151b74cba
hex132ec44

20114500 has 72 divisors (see below), whose sum is σ = 51164568. Its totient is φ = 6888000.

The previous prime is 20114491. The next prime is 20114527. The reversal of 20114500 is 541102.

It can be written as a sum of positive squares in 4 ways, for example, as 2119936 + 17994564 = 1456^2 + 4242^2 .

It is a super-2 number, since 2×201145002 = 809186220500000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 24090 + ... + 24910.

It is an arithmetic number, because the mean of its divisors is an integer number (710619).

Almost surely, 220114500 is an apocalyptic number.

20114500 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 20114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25582284).

20114500 is an abundant number, since it is smaller than the sum of its proper divisors (31050068).

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

20114500 is a wasteful number, since it uses less digits than its factorization.

20114500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 20114500 is about 4484.9191742996. The cubic root of 20114500 is about 271.9587776341.

Adding to 20114500 its reverse (541102), we get a palindrome (20655602).

The spelling of 20114500 in words is "twenty million, one hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 490 500 700 821 875 980 1225 1642 1750 2450 3284 3500 4105 4900 5747 6125 8210 11494 12250 16420 20525 22988 24500 28735 40229 41050 57470 80458 82100 102625 114940 143675 160916 201145 205250 287350 402290 410500 574700 718375 804580 1005725 1436750 2011450 2873500 4022900 5028625 10057250 20114500