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1427460000 = 2535437643
BaseRepresentation
bin101010100010101…
…0100111110100000
310200111000110222220
41111011110332200
510410412210000
6353351231040
750242131651
oct12505247640
93614013886
101427460000
1167284490a
1233a078480
131999745b5
14d781d528
15854bb1a0
hex55154fa0

1427460000 has 240 divisors, whose sum is σ = 4816383264. Its totient is φ = 369792000.

The previous prime is 1427459989. The next prime is 1427460019. The reversal of 1427460000 is 647241.

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 (24).

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, 2219679 + ... + 2220321.

Almost surely, 21427460000 is an apocalyptic number.

1427460000 is a gapful number since it is divisible by the number (10) 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 1427460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408191632).

1427460000 is an abundant number, since it is smaller than the sum of its proper divisors (3388923264).

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

1427460000 is an equidigital number, since it uses as much as digits as its factorization.

1427460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1427460000 is about 37781.7416221116. The cubic root of 1427460000 is about 1125.9557310494.

The spelling of 1427460000 in words is "one billion, four hundred twenty-seven million, four hundred sixty thousand".