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56015820 = 22335722973
BaseRepresentation
bin1101010110101…
…1101111001100
310220101220021000
43111223233030
5103320001240
65320340300
71250061300
oct325535714
9126356230
1056015820
112968a573
1216914690
13b7b3673
147621d00
154db7430
hex356bbcc

56015820 has 288 divisors, whose sum is σ = 212587200. Its totient is φ = 12192768.

The previous prime is 56015797. The next prime is 56015831. The reversal of 56015820 is 2851065.

56015820 is a `hidden beast` number, since 5 + 601 + 58 + 2 + 0 = 666.

56015820 is a nontrivial binomial coefficient, being equal to C(10585, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 767304 + ... + 767376.

It is an arithmetic number, because the mean of its divisors is an integer number (738150).

Almost surely, 256015820 is an apocalyptic number.

56015820 is the 10584-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56015820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106293600).

56015820 is an abundant number, since it is smaller than the sum of its proper divisors (156571380).

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

56015820 is a wasteful number, since it uses less digits than its factorization.

56015820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 56015820 is about 7484.3717171183. The cubic root of 56015820 is about 382.6222600331.

Adding to 56015820 its reverse (2851065), we get a palindrome (58866885).

The spelling of 56015820 in words is "fifty-six million, fifteen thousand, eight hundred twenty".