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5703942960 = 24325233141271
BaseRepresentation
bin1010100111111101…
…10100001100110000
3112201111222022202200
411103332310030300
543140202133320
62341555143200
7261230500212
oct52376641460
915644868680
105703942960
1124677aa851
1211322a4b00
136cb94b8a1
143c17845b2
15235b57290
hex153fb4330

5703942960 has 480 divisors, whose sum is σ = 21214642176. Its totient is φ = 1368576000.

The previous prime is 5703942931. The next prime is 5703942971. The reversal of 5703942960 is 692493075.

It is a happy number.

5703942960 is a `hidden beast` number, since 570 + 39 + 42 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21047625 + ... + 21047895.

Almost surely, 25703942960 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 5703942960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607321088).

5703942960 is an abundant number, since it is smaller than the sum of its proper divisors (15510699216).

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

5703942960 is a wasteful number, since it uses less digits than its factorization.

5703942960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 5703942960 is about 75524.4527289010. The cubic root of 5703942960 is about 1786.7277858971.

It can be divided in two parts, 57039 and 42960, that added together give a palindrome (99999).

The spelling of 5703942960 in words is "five billion, seven hundred three million, nine hundred forty-two thousand, nine hundred sixty".