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1427010000 = 24354133659
BaseRepresentation
bin101010100001110…
…0111000111010000
310200110011121201020
41111003213013100
510410303310000
6353333435440
750235246003
oct12503470720
93613147636
101427010000
11672567809
12339a9bb80
13199847820
14d774353a
158542cba0
hex550e71d0

1427010000 has 200 divisors, whose sum is σ = 4962286560. Its totient is φ = 351168000.

The previous prime is 1427009977. The next prime is 1427010023. The reversal of 1427010000 is 107241.

It is an interprime number because it is at equal distance from previous prime (1427009977) and next prime (1427010023).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 388171 + ... + 391829.

Almost surely, 21427010000 is an apocalyptic number.

1427010000 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 1427010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481143280).

1427010000 is an abundant number, since it is smaller than the sum of its proper divisors (3535276560).

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

1427010000 is a wasteful number, since it uses less digits than its factorization.

1427010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1427010000 is about 37775.7858952001. The cubic root of 1427010000 is about 1125.8374012116.

Adding to 1427010000 its reverse (107241), we get a palindrome (1427117241).

The spelling of 1427010000 in words is "one billion, four hundred twenty-seven million, ten thousand".