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1530000000 = 27325717
BaseRepresentation
bin101101100110001…
…1111001010000000
310221121222001102200
41123030133022000
511113140000000
6411453113200
752625533254
oct13314371200
93847861380
101530000000
11715710711
12368488800
131b4c97259
141072b2264
158e4c3500
hex5b31f280

1530000000 has 384 divisors, whose sum is σ = 5827133520. Its totient is φ = 384000000.

The previous prime is 1529999969. The next prime is 1530000013. The reversal of 1530000000 is 351.

It can be written as a sum of positive squares in 8 ways, for example, as 1256560704 + 273439296 = 35448^2 + 16536^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89999992 + ... + 90000008.

Almost surely, 21530000000 is an apocalyptic number.

1530000000 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 1530000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913566760).

1530000000 is an abundant number, since it is smaller than the sum of its proper divisors (4297133520).

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

1530000000 is an frugal number, since it uses more digits than its factorization.

1530000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 1530000000 is about 39115.2144312159. The cubic root of 1530000000 is about 1152.2953525111.

Adding to 1530000000 its reverse (351), we get a palindrome (1530000351).

The spelling of 1530000000 in words is "one billion, five hundred thirty million", and thus it is an aban number.