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20001900 = 22352611093
BaseRepresentation
bin100110001001…
…1010001101100
31101122012110010
41030103101230
520110030100
61552413220
7332004402
oct114232154
941565403
1020001900
11103217a6
126847210
1341b4259
142929472
151b51750
hex131346c

20001900 has 72 divisors (see below), whose sum is σ = 58874704. Its totient is φ = 5241600.

The previous prime is 20001899. The next prime is 20001901. The reversal of 20001900 is 910002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20001899) and next prime (20001901).

It is a super-2 number, since 2×200019002 = 800152007220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20001901) 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, 17754 + ... + 18846.

Almost surely, 220001900 is an apocalyptic number.

20001900 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 20001900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29437352).

20001900 is an abundant number, since it is smaller than the sum of its proper divisors (38872804).

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

20001900 is a wasteful number, since it uses less digits than its factorization.

20001900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 20001900 is about 4472.3483764126. The cubic root of 20001900 is about 271.4503570431.

Adding to 20001900 its reverse (910002), we get a palindrome (20911902).

The spelling of 20001900 in words is "twenty million, one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1093 1220 1525 1830 2186 3050 3279 3660 4372 4575 5465 6100 6558 9150 10930 13116 16395 18300 21860 27325 32790 54650 65580 66673 81975 109300 133346 163950 200019 266692 327900 333365 400038 666730 800076 1000095 1333460 1666825 2000190 3333650 4000380 5000475 6667300 10000950 20001900