Search a number
-
+
82080140760 = 233251311740461
BaseRepresentation
bin100110001110001011…
…0111000110111011000
321211212022021011200100
41030130112320313120
52321100004001020
6101412422135400
75634010453632
oct1143426706730
9254768234610
1082080140760
11318a0110682
1213aa8581560
13798108b637
143d89135a52
152205e11a90
hex131c5b8dd8

82080140760 has 96 divisors (see below), whose sum is σ = 268796951280. Its totient is φ = 21720940800.

The previous prime is 82080140719. The next prime is 82080140789. The reversal of 82080140760 is 6704108028.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 823071 + ... + 917390.

Almost surely, 282080140760 is an apocalyptic number.

It is an amenable number.

82080140760 is an abundant number, since it is smaller than the sum of its proper divisors (186716810520).

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

82080140760 is a wasteful number, since it uses less digits than its factorization.

82080140760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740609 (or 1740602 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 82080140760 its reverse (6704108028), we get a palindrome (88784248788).

The spelling of 82080140760 in words is "eighty-two billion, eighty million, one hundred forty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 131 180 262 360 393 524 655 786 1048 1179 1310 1572 1965 2358 2620 3144 3930 4716 5240 5895 7860 9432 11790 15720 23580 47160 1740461 3480922 5221383 6961844 8702305 10442766 13923688 15664149 17404610 20885532 26106915 31328298 34809220 41771064 52213830 62656596 69618440 78320745 104427660 125313192 156641490 208855320 228000391 313282980 456000782 626565960 684001173 912001564 1140001955 1368002346 1824003128 2052003519 2280003910 2736004692 3420005865 4104007038 4560007820 5472009384 6840011730 8208014076 9120015640 10260017595 13680023460 16416028152 20520035190 27360046920 41040070380 82080140760