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56010240 = 29325111317
BaseRepresentation
bin1101010110101…
…0011000000000
310220101121121100
43111222120000
5103314311430
65320254400
71250036106
oct325523000
9126347540
1056010240
1129686360
1216911400
13b7b0c70
14761dc76
154db5960
hex356a600

56010240 has 480 divisors, whose sum is σ = 241297056. Its totient is φ = 11796480.

The previous prime is 56010239. The next prime is 56010259. The reversal of 56010240 is 4201065.

It is a happy number.

56010240 is a `hidden beast` number, since 560 + 102 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3294712 + ... + 3294728.

Almost surely, 256010240 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 56010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120648528).

56010240 is an abundant number, since it is smaller than the sum of its proper divisors (185286816).

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

56010240 is a wasteful number, since it uses less digits than its factorization.

56010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 56010240 is about 7483.9989310528. The cubic root of 56010240 is about 382.6095546753.

The spelling of 56010240 in words is "fifty-six million, ten thousand, two hundred forty".