Search a number
-
+
12820343240 = 235563571997
BaseRepresentation
bin10111111000010011…
…01110100111001000
31020002110201220201102
423330021232213020
5202224001440430
65520052240532
7632462055665
oct137411564710
936073656642
1012820343240
1154898276a1
122599610148
1312940bb123
14898960a6c
155007b5345
hex2fc26e9c8

12820343240 has 64 divisors (see below), whose sum is σ = 28976650560. Its totient is φ = 5104938240.

The previous prime is 12820343197. The next prime is 12820343273. The reversal of 12820343240 is 4234302821.

It is a super-2 number, since 2×128203432402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12858422 + ... + 12859418.

It is an arithmetic number, because the mean of its divisors is an integer number (452760165).

Almost surely, 212820343240 is an apocalyptic number.

12820343240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12820343240 is an abundant number, since it is smaller than the sum of its proper divisors (16156307320).

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

12820343240 is a wasteful number, since it uses less digits than its factorization.

12820343240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 12820343240 in words is "twelve billion, eight hundred twenty million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 563 571 997 1126 1142 1994 2252 2284 2815 2855 3988 4504 4568 4985 5630 5710 7976 9970 11260 11420 19940 22520 22840 39880 321473 561311 569287 642946 1122622 1138574 1285892 1607365 2245244 2277148 2571784 2806555 2846435 3214730 4490488 4554296 5613110 5692870 6429460 11226220 11385740 12858920 22452440 22771480 320508581 641017162 1282034324 1602542905 2564068648 3205085810 6410171620 12820343240