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20045800 = 2352731373
BaseRepresentation
bin100110001110…
…1111111101000
31101201102200001
41030131333220
520112431200
61553352344
7332246365
oct114357750
941642601
1020045800
1110351785
1268686b4
1341cb228
14293b46c
151b5e76a
hex131dfe8

20045800 has 48 divisors (see below), whose sum is σ = 47279340. Its totient is φ = 7902720.

The previous prime is 20045791. The next prime is 20045827. The reversal of 20045800 is 854002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14485636 + 5560164 = 3806^2 + 2358^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13914 + ... + 15286.

Almost surely, 220045800 is an apocalyptic number.

20045800 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 20045800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23639670).

20045800 is an abundant number, since it is smaller than the sum of its proper divisors (27233540).

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

20045800 is a wasteful number, since it uses less digits than its factorization.

20045800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 20045800 is about 4477.2536224789. The cubic root of 20045800 is about 271.6488042421.

Adding to 20045800 its reverse (854002), we get a palindrome (20899802).

The spelling of 20045800 in words is "twenty million, forty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1373 1460 1825 2746 2920 3650 5492 6865 7300 10984 13730 14600 27460 34325 54920 68650 100229 137300 200458 274600 400916 501145 801832 1002290 2004580 2505725 4009160 5011450 10022900 20045800