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2131530240 = 29357311279
BaseRepresentation
bin111111100001100…
…1001001000000000
312111112211221210110
41333003021020000
513331132431430
6551302031320
7103551464610
oct17703111000
95445757713
102131530240
119a4214244
124b5a18540
1327c7aa4c8
14163136a40
15c71e47b0
hex7f0c9200

2131530240 has 320 divisors, whose sum is σ = 8045199360. Its totient is φ = 471121920.

The previous prime is 2131530179. The next prime is 2131530241. The reversal of 2131530240 is 420351312.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2131530241) 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, 1665921 + ... + 1667199.

It is an arithmetic number, because the mean of its divisors is an integer number (25141248).

Almost surely, 22131530240 is an apocalyptic number.

2131530240 is a gapful number since it is divisible by the number (20) 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 2131530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022599680).

2131530240 is an abundant number, since it is smaller than the sum of its proper divisors (5913669120).

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

2131530240 is a wasteful number, since it uses less digits than its factorization.

2131530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2131530240 is about 46168.4983511485. The cubic root of 2131530240 is about 1286.9563965234.

Adding to 2131530240 its reverse (420351312), we get a palindrome (2551881552).

The spelling of 2131530240 in words is "two billion, one hundred thirty-one million, five hundred thirty thousand, two hundred forty".