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5730811920 = 24325192511669
BaseRepresentation
bin1010101011001010…
…10100000000010000
3112210101112102001100
411111211110000100
543214041440140
62344355104400
7262005045321
oct52545240020
915711472040
105730811920
1124809918a9
12113b2a2100
13704398692
143c517a448
152381b3530
hex155954010

5730811920 has 240 divisors, whose sum is σ = 20351822400. Its totient is φ = 1441152000.

The previous prime is 5730811883. The next prime is 5730811921. The reversal of 5730811920 is 291180375.

5730811920 is a `hidden beast` number, since 573 + 0 + 81 + 1 + 9 + 2 + 0 = 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 not an unprimeable number, because it can be changed into a prime (5730811921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3432846 + ... + 3434514.

It is an arithmetic number, because the mean of its divisors is an integer number (84799260).

Almost surely, 25730811920 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 5730811920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10175911200).

5730811920 is an abundant number, since it is smaller than the sum of its proper divisors (14621010480).

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

5730811920 is a wasteful number, since it uses less digits than its factorization.

5730811920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5730811920 is about 75702.1262581177. The cubic root of 5730811920 is about 1789.5289086229.

The spelling of 5730811920 in words is "five billion, seven hundred thirty million, eight hundred eleven thousand, nine hundred twenty".