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5734040760 = 233357323673
BaseRepresentation
bin1010101011100011…
…01000010010111000
3112210121121110012000
411111301220102320
543220403301020
62344552221000
7262044354000
oct52561502270
915717543160
105734040760
112482797768
12114039a760
13704c59236
143c577b000
15238600090
hex155c684b8

5734040760 has 512 divisors, whose sum is σ = 23293440000. Its totient is φ = 1251790848.

The previous prime is 5734040731. The next prime is 5734040779. The reversal of 5734040760 is 670404375.

5734040760 is a `hidden beast` number, since 573 + 40 + 40 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8519784 + ... + 8520456.

It is an arithmetic number, because the mean of its divisors is an integer number (45495000).

Almost surely, 25734040760 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 5734040760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11646720000).

5734040760 is an abundant number, since it is smaller than the sum of its proper divisors (17559399240).

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

5734040760 is a wasteful number, since it uses less digits than its factorization.

5734040760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 5734040760 is about 75723.4492082869. The cubic root of 5734040760 is about 1789.8649295207.

The spelling of 5734040760 in words is "five billion, seven hundred thirty-four million, forty thousand, seven hundred sixty".