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1350030240 = 25355132671
BaseRepresentation
bin101000001110111…
…1101001110100000
310111002022122100000
41100131331032200
510231101431430
6341543500000
745312032136
oct12035751640
93432278300
101350030240
11633069779
12318157600
13186904080
14cb425756
157d7c3e60
hex5077d3a0

1350030240 has 288 divisors, whose sum is σ = 5147041536. Its totient is φ = 332190720.

The previous prime is 1350030221. The next prime is 1350030263. The reversal of 1350030240 is 420300531.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 504105 + ... + 506775.

It is an arithmetic number, because the mean of its divisors is an integer number (17871672).

Almost surely, 21350030240 is an apocalyptic number.

1350030240 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 1350030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573520768).

1350030240 is an abundant number, since it is smaller than the sum of its proper divisors (3797011296).

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

1350030240 is a wasteful number, since it uses less digits than its factorization.

1350030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1350030240 is about 36742.7576537200. The cubic root of 1350030240 is about 1105.2177017611.

Adding to 1350030240 its reverse (420300531), we get a palindrome (1770330771).

The spelling of 1350030240 in words is "one billion, three hundred fifty million, thirty thousand, two hundred forty".