Search a number
-
+
2067961320 = 2333512715077
BaseRepresentation
bin111101101000010…
…1001010111101000
312100010020022122000
41323100221113220
513213344230240
6541111331000
7102150244515
oct17320512750
95303208560
102067961320
11971345a47
12498680a60
1326c580c69
1415890a30c
15c1839430
hex7b4295e8

2067961320 has 128 divisors (see below), whose sum is σ = 6947942400. Its totient is φ = 547077888.

The previous prime is 2067961307. The next prime is 2067961417. The reversal of 2067961320 is 231697602.

2067961320 is a `hidden beast` number, since 206 + 79 + 61 + 320 = 666.

It is a super-2 number, since 2×20679613202 = 8552928042032284800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129622 + ... + 144698.

It is an arithmetic number, because the mean of its divisors is an integer number (54280800).

Almost surely, 22067961320 is an apocalyptic number.

2067961320 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 2067961320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473971200).

2067961320 is an abundant number, since it is smaller than the sum of its proper divisors (4879981080).

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

2067961320 is a wasteful number, since it uses less digits than its factorization.

2067961320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15224 (or 15214 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2067961320 is about 45474.8427155059. The cubic root of 2067961320 is about 1274.0333711512.

The spelling of 2067961320 in words is "two billion, sixty-seven million, nine hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 127 135 180 216 254 270 360 381 508 540 635 762 1016 1080 1143 1270 1524 1905 2286 2540 3048 3429 3810 4572 5080 5715 6858 7620 9144 11430 13716 15077 15240 17145 22860 27432 30154 34290 45231 45720 60308 68580 75385 90462 120616 135693 137160 150770 180924 226155 271386 301540 361848 407079 452310 542772 603080 678465 814158 904620 1085544 1356930 1628316 1809240 1914779 2035395 2713860 3256632 3829558 4070790 5427720 5744337 7659116 8141580 9573895 11488674 15318232 16283160 17233011 19147790 22977348 28721685 34466022 38295580 45954696 51699033 57443370 68932044 76591160 86165055 103398066 114886740 137864088 172330110 206796132 229773480 258495165 344660220 413592264 516990330 689320440 1033980660 2067961320