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2130000240 = 24358875001
BaseRepresentation
bin111111011110101…
…0011100101110000
312111102222020000210
41332331103211300
513330240001430
6551205144120
7103532463144
oct17675234560
95442866023
102130000240
119a3369785
124b53bb040
1327c392c94
14162c59224
15c6ee12b0
hex7ef53970

2130000240 has 40 divisors (see below), whose sum is σ = 6603001488. Its totient is φ = 568000000.

The previous prime is 2130000233. The next prime is 2130000259. The reversal of 2130000240 is 420000312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4437261 + ... + 4437740.

Almost surely, 22130000240 is an apocalyptic number.

2130000240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130000240 is an abundant number, since it is smaller than the sum of its proper divisors (4473001248).

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

2130000240 is a wasteful number, since it uses less digits than its factorization.

2130000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875017 (or 8875011 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2130000240 is about 46151.9256369656. The cubic root of 2130000240 is about 1286.6483995486.

Adding to 2130000240 its reverse (420000312), we get a palindrome (2550000552).

The spelling of 2130000240 in words is "two billion, one hundred thirty million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8875001 17750002 26625003 35500004 44375005 53250006 71000008 88750010 106500012 133125015 142000016 177500020 213000024 266250030 355000040 426000048 532500060 710000080 1065000120 2130000240