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2140012240 = 245831013191
BaseRepresentation
bin111111110001101…
…1111111011010000
312112010210212220121
41333203133323100
513340320342430
6552203520024
7104013542512
oct17743377320
95463725817
102140012240
119a8a87963
124b8829014
1328148a142
14164303bb2
15c7d1ca7a
hex7f8dfed0

2140012240 has 80 divisors (see below), whose sum is σ = 5086924416. Its totient is φ = 837056000.

The previous prime is 2140012211. The next prime is 2140012247. The reversal of 2140012240 is 422100412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140012247) 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, 669045 + ... + 672235.

Almost surely, 22140012240 is an apocalyptic number.

2140012240 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 2140012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543462208).

2140012240 is an abundant number, since it is smaller than the sum of its proper divisors (2946912176).

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

2140012240 is a wasteful number, since it uses less digits than its factorization.

2140012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2140012240 is about 46260.2663200289. The cubic root of 2140012240 is about 1288.6611994195.

Adding to 2140012240 its reverse (422100412), we get a palindrome (2562112652).

The spelling of 2140012240 in words is "two billion, one hundred forty million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 101 166 202 332 404 415 505 664 808 830 1010 1328 1616 1660 2020 3191 3320 4040 6382 6640 8080 8383 12764 15955 16766 25528 31910 33532 41915 51056 63820 67064 83830 127640 134128 167660 255280 264853 322291 335320 529706 644582 670640 1059412 1289164 1324265 1611455 2118824 2578328 2648530 3222910 4237648 5156656 5297060 6445820 10594120 12891640 21188240 25783280 26750153 53500306 107000612 133750765 214001224 267501530 428002448 535003060 1070006120 2140012240