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55680720 = 2435232003
BaseRepresentation
bin1101010001100…
…1111011010000
310212202212120220
43110121323100
5103223240340
65305233040
71244164314
oct324317320
9125685526
1055680720
1129480827
1216792780
13b6c6c94
147575b44
154d4ced0
hex3519ed0

55680720 has 40 divisors (see below), whose sum is σ = 172610976. Its totient is φ = 14848128.

The previous prime is 55680689. The next prime is 55680727. The reversal of 55680720 is 2708655.

It is a happy number.

55680720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55680727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115762 + ... + 116241.

Almost surely, 255680720 is an apocalyptic number.

It is an amenable number.

55680720 is an abundant number, since it is smaller than the sum of its proper divisors (116930256).

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

55680720 is a wasteful number, since it uses less digits than its factorization.

55680720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232019 (or 232013 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 55680720 is about 7461.9514873792. The cubic root of 55680720 is about 381.8577542988.

The spelling of 55680720 in words is "fifty-five million, six hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 232003 464006 696009 928012 1160015 1392018 1856024 2320030 2784036 3480045 3712048 4640060 5568072 6960090 9280120 11136144 13920180 18560240 27840360 55680720