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5740058880 = 283251373637
BaseRepresentation
bin1010101100010001…
…00101100100000000
3112211000221012111100
411112020211210000
543223423341010
62345325214400
7262146460353
oct52610454400
915730835440
105740058880
112486128216
121142401400
1370628555a
143c64a629a
15238ddd2c0
hex156225900

5740058880 has 216 divisors, whose sum is σ = 20010469752. Its totient is φ = 1519091712.

The previous prime is 5740058879. The next prime is 5740058887. The reversal of 5740058880 is 888500475.

It can be written as a sum of positive squares in 4 ways, for example, as 17438976 + 5722619904 = 4176^2 + 75648^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5740058887) 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 23 ways as a sum of consecutive naturals, for example, 1576422 + ... + 1580058.

Almost surely, 25740058880 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 5740058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10005234876).

5740058880 is an abundant number, since it is smaller than the sum of its proper divisors (14270410872).

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

5740058880 is a wasteful number, since it uses less digits than its factorization.

5740058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 5740058880 is about 75763.1762797733. The cubic root of 5740058880 is about 1790.4908904065.

The spelling of 5740058880 in words is "five billion, seven hundred forty million, fifty-eight thousand, eight hundred eighty".