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1150005140 = 225313750131
BaseRepresentation
bin100010010001011…
…1010111110010100
32222010221022110222
41010202322332110
54323400131030
6310040333512
740332611444
oct10442727624
92863838428
101150005140
11540169979
12281174298
1315433b51b
14aca38124
156ae623e5
hex448baf94

1150005140 has 48 divisors (see below), whose sum is σ = 2560341504. Its totient is φ = 433123200.

The previous prime is 1150005127. The next prime is 1150005149. The reversal of 1150005140 is 415000511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150005149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2126 + ... + 48005.

It is an arithmetic number, because the mean of its divisors is an integer number (53340448).

Almost surely, 21150005140 is an apocalyptic number.

1150005140 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 1150005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280170752).

1150005140 is an abundant number, since it is smaller than the sum of its proper divisors (1410336364).

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

1150005140 is a wasteful number, since it uses less digits than its factorization.

1150005140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50208 (or 50206 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 1150005140 is about 33911.7257007071. The cubic root of 1150005140 is about 1047.6911140749.

Adding to 1150005140 its reverse (415000511), we get a palindrome (1565005651).

The spelling of 1150005140 in words is "one billion, one hundred fifty million, five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 310 370 620 740 1147 2294 4588 5735 11470 22940 50131 100262 200524 250655 501310 1002620 1554061 1854847 3108122 3709694 6216244 7419388 7770305 9274235 15540610 18548470 31081220 37096940 57500257 115000514 230001028 287501285 575002570 1150005140