Search a number
-
+
1326891520 = 2952961293
BaseRepresentation
bin100111100010110…
…1100001000000000
310102110210001222101
41033011230020000
510204141012040
6335355520144
744611251253
oct11705541000
93373701871
101326891520
11620aa5269
12310459054
13181b92116
14c832109a
157b75309a
hex4f16c200

1326891520 has 160 divisors (see below), whose sum is σ = 3356503920. Its totient is φ = 502333440.

The previous prime is 1326891493. The next prime is 1326891541. The reversal of 1326891520 is 251986231.

It can be written as a sum of positive squares in 8 ways, for example, as 550934784 + 775956736 = 23472^2 + 27856^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×13268915202 = 3521282211695820800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1326891520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4528494 + ... + 4528786.

Almost surely, 21326891520 is an apocalyptic number.

1326891520 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 1326891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678251960).

1326891520 is an abundant number, since it is smaller than the sum of its proper divisors (2029612400).

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

1326891520 is an equidigital number, since it uses as much as digits as its factorization.

1326891520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 1326891520 is about 36426.5222056677. The cubic root of 1326891520 is about 1098.8670207813.

The spelling of 1326891520 in words is "one billion, three hundred twenty-six million, eight hundred ninety-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 61 64 80 116 122 128 145 160 232 244 256 290 293 305 320 464 488 512 580 586 610 640 928 976 1160 1172 1220 1280 1465 1769 1856 1952 2320 2344 2440 2560 2930 3538 3712 3904 4640 4688 4880 5860 7076 7424 7808 8497 8845 9280 9376 9760 11720 14152 14848 15616 16994 17690 17873 18560 18752 19520 23440 28304 31232 33988 35380 35746 37120 37504 39040 42485 46880 56608 67976 70760 71492 74240 75008 78080 84970 89365 93760 113216 135952 141520 142984 150016 156160 169940 178730 187520 226432 271904 283040 285968 339880 357460 375040 452864 518317 543808 566080 571936 679760 714920 750080 905728 1036634 1087616 1132160 1143872 1359520 1429840 2073268 2175232 2264320 2287744 2591585 2719040 2859680 4146536 4350464 4528640 4575488 5183170 5438080 5719360 8293072 9150976 10366340 10876160 11438720 16586144 20732680 21752320 22877440 33172288 41465360 45754880 66344576 82930720 132689152 165861440 265378304 331722880 663445760 1326891520