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20040200 = 2352971033
BaseRepresentation
bin100110001110…
…0101000001000
31101201010222122
41030130220020
520112241300
61553310412
7332224145
oct114345010
941633878
1020040200
1110348554
126865408
1341c880b
1429393cc
151b5cc85
hex131ca08

20040200 has 48 divisors (see below), whose sum is σ = 47119380. Its totient is φ = 7925760.

The previous prime is 20040197. The next prime is 20040203. The reversal of 20040200 is 204002.

It is an interprime number because it is at equal distance from previous prime (20040197) and next prime (20040203).

It can be written as a sum of positive squares in 6 ways, for example, as 12630916 + 7409284 = 3554^2 + 2722^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (20040203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18884 + ... + 19916.

Almost surely, 220040200 is an apocalyptic number.

20040200 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 20040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23559690).

20040200 is an abundant number, since it is smaller than the sum of its proper divisors (27079180).

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

20040200 is a wasteful number, since it uses less digits than its factorization.

20040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 20040200 is about 4476.6281954167. The cubic root of 20040200 is about 271.6235059255.

Adding to 20040200 its reverse (204002), we get a palindrome (20244202).

The spelling of 20040200 in words is "twenty million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 776 970 1033 1940 2066 2425 3880 4132 4850 5165 8264 9700 10330 19400 20660 25825 41320 51650 100201 103300 200402 206600 400804 501005 801608 1002010 2004020 2505025 4008040 5010050 10020100 20040200