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1540000000 = 2857711
BaseRepresentation
bin101101111001010…
…1000100100000000
310222022210002212001
41123302220210000
511123220000000
6412451313344
753106532630
oct13362504400
93868702761
101540000000
11720320880
1236b8ab854
131b7088b06
141087566c0
15902eb46a
hex5bca8900

1540000000 has 288 divisors, whose sum is σ = 4790612736. Its totient is φ = 480000000.

The previous prime is 1539999997. The next prime is 1540000001. The reversal of 1540000000 is 451.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1540000001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139999995 + ... + 140000005.

It is an arithmetic number, because the mean of its divisors is an integer number (16634072).

Almost surely, 21540000000 is an apocalyptic number.

1540000000 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 1540000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395306368).

1540000000 is an abundant number, since it is smaller than the sum of its proper divisors (3250612736).

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

1540000000 is an frugal number, since it uses more digits than its factorization.

1540000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1540000000 is about 39242.8337406972. The cubic root of 1540000000 is about 1154.8003502915.

Adding to 1540000000 its reverse (451), we get a palindrome (1540000451).

The spelling of 1540000000 in words is "one billion, five hundred forty million", and thus it is an aban number.