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20000844 = 2236193
BaseRepresentation
bin100110001001…
…1000001001100
31101122011000000
41030103001030
520110011334
61552404300
7332001333
oct114230114
941564000
1020000844
1110320a26
126846690
1341b3926
142928d1a
151b51299
hex131304c

20000844 has 84 divisors (see below), whose sum is σ = 55393240. Its totient is φ = 6316056.

The previous prime is 20000843. The next prime is 20000861. The reversal of 20000844 is 44800002.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20000843) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1052667 + ... + 1052685.

Almost surely, 220000844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27696620).

20000844 is an abundant number, since it is smaller than the sum of its proper divisors (35392396).

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

20000844 is an frugal number, since it uses more digits than its factorization.

20000844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20000844 is about 4472.2303160727. The cubic root of 20000844 is about 271.4455798866.

Adding to 20000844 its reverse (44800002), we get a palindrome (64800846).

The spelling of 20000844 in words is "twenty million, eight hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 361 486 513 684 722 729 972 1026 1083 1444 1458 1539 2052 2166 2916 3078 3249 4332 4617 6156 6498 6859 9234 9747 12996 13718 13851 18468 19494 20577 27436 27702 29241 38988 41154 55404 58482 61731 82308 87723 116964 123462 175446 185193 246924 263169 350892 370386 526338 555579 740772 1052676 1111158 1666737 2222316 3333474 5000211 6666948 10000422 20000844