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20040900 = 22352116073
BaseRepresentation
bin100110001110…
…0110011000100
31101201011221120
41030130303010
520112302100
61553313540
7332226165
oct114346304
941634846
1020040900
1110349030
1268658b0
1341c8c29
14293976c
151b5d0a0
hex131ccc4

20040900 has 72 divisors (see below), whose sum is σ = 63266784. Its totient is φ = 4857600.

The previous prime is 20040899. The next prime is 20040901. The reversal of 20040900 is 904002.

It is an interprime number because it is at equal distance from previous prime (20040899) and next prime (20040901).

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 20040900.

It is not an unprimeable number, because it can be changed into a prime (20040901) by changing a digit.

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, 264 + ... + 6336.

Almost surely, 220040900 is an apocalyptic number.

20040900 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 20040900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31633392).

20040900 is an abundant number, since it is smaller than the sum of its proper divisors (43225884).

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

20040900 is a wasteful number, since it uses less digits than its factorization.

20040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 20040900 is about 4476.7063785779. The cubic root of 20040900 is about 271.6266684728.

Adding to 20040900 its reverse (904002), we get a palindrome (20944902).

The spelling of 20040900 in words is "twenty million, forty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6073 12146 18219 24292 30365 36438 60730 66803 72876 91095 121460 133606 151825 182190 200409 267212 303650 334015 364380 400818 455475 607300 668030 801636 910950 1002045 1336060 1670075 1821900 2004090 3340150 4008180 5010225 6680300 10020450 20040900