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575670240 = 25345431033
BaseRepresentation
bin100010010100000…
…000011111100000
31111010020002010000
4202110000133200
52134332421430
6133042340000
720160054615
oct4224003740
91433202100
10575670240
11275a50632
1214095a600
139235a7a2
145665250c
1535813e60
hex225007e0

575670240 has 240 divisors, whose sum is σ = 2080896048. Its totient is φ = 149796864.

The previous prime is 575670229. The next prime is 575670253. The reversal of 575670240 is 42076575.

575670240 is a `hidden beast` number, since 57 + 567 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 575670195 and 575670204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 556764 + ... + 557796.

Almost surely, 2575670240 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 575670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040448024).

575670240 is an abundant number, since it is smaller than the sum of its proper divisors (1505225808).

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

575670240 is a wasteful number, since it uses less digits than its factorization.

575670240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 575670240 is about 23993.1290164497. The cubic root of 575670240 is about 831.8747191788.

The spelling of 575670240 in words is "five hundred seventy-five million, six hundred seventy thousand, two hundred forty".