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5740460000 = 25541197269
BaseRepresentation
bin1010101100010100…
…00111011111100000
3112211001200120201122
411112022013133200
543224024210000
62345341551412
7262153050662
oct52612073740
915731616648
105740460000
112486381620
121142575568
13706395cc2
143c656c532
15238e6c085
hex1562877e0

5740460000 has 240 divisors, whose sum is σ = 15622936560. Its totient is φ = 2058240000.

The previous prime is 5740459997. The next prime is 5740460017. The reversal of 5740460000 is 640475.

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, 21339866 + ... + 21340134.

It is an arithmetic number, because the mean of its divisors is an integer number (65095569).

Almost surely, 25740460000 is an apocalyptic number.

5740460000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5740460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7811468280).

5740460000 is an abundant number, since it is smaller than the sum of its proper divisors (9882476560).

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

5740460000 is a wasteful number, since it uses less digits than its factorization.

5740460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 5740460000 is about 75765.8234298288. The cubic root of 5740460000 is about 1790.5325964234.

The spelling of 5740460000 in words is "five billion, seven hundred forty million, four hundred sixty thousand".