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20005680 = 243583357
BaseRepresentation
bin100110001010…
…0001100110000
31101122101122010
41030110030300
520110140210
61552442520
7332021412
oct114241460
941571563
1020005680
1110324622
126849440
1341b5ba6
14292a9b2
151b52920
hex1314330

20005680 has 40 divisors (see below), whose sum is σ = 62018352. Its totient is φ = 5334784.

The previous prime is 20005673. The next prime is 20005681. The reversal of 20005680 is 8650002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (20005681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41439 + ... + 41918.

Almost surely, 220005680 is an apocalyptic number.

20005680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20005680 is an abundant number, since it is smaller than the sum of its proper divisors (42012672).

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

20005680 is a wasteful number, since it uses less digits than its factorization.

20005680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83373 (or 83367 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20005680 is about 4472.7709532235. The cubic root of 20005680 is about 271.4674557140.

Adding to 20005680 its reverse (8650002), we get a palindrome (28655682).

The spelling of 20005680 in words is "twenty million, five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 83357 166714 250071 333428 416785 500142 666856 833570 1000284 1250355 1333712 1667140 2000568 2500710 3334280 4001136 5001420 6668560 10002840 20005680