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20006484 = 22317101971
BaseRepresentation
bin100110001010…
…0011001010100
31101122102201220
41030110121110
520110201414
61552450340
7332023641
oct114243124
941572656
1020006484
1110325193
1268499b0
1341b6374
14292adc8
151b52ca9
hex1314654

20006484 has 48 divisors (see below), whose sum is σ = 49968576. Its totient is φ = 6208000.

The previous prime is 20006431. The next prime is 20006489. The reversal of 20006484 is 48460002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20006489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20119 + ... + 21089.

It is an arithmetic number, because the mean of its divisors is an integer number (1041012).

Almost surely, 220006484 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 20006484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24984288).

20006484 is an abundant number, since it is smaller than the sum of its proper divisors (29962092).

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

20006484 is a wasteful number, since it uses less digits than its factorization.

20006484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20006484 is about 4472.8608294916. The cubic root of 20006484 is about 271.4710922964.

Adding to 20006484 its reverse (48460002), we get a palindrome (68466486).

The spelling of 20006484 in words is "twenty million, six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 303 404 606 971 1212 1717 1942 2913 3434 3884 5151 5826 6868 10302 11652 16507 20604 33014 49521 66028 98071 99042 196142 198084 294213 392284 588426 1176852 1667207 3334414 5001621 6668828 10003242 20006484