Search a number
-
+
90668002320 = 2433575996561
BaseRepresentation
bin101010001110000111…
…0111110110000010000
322200000210211202001000
41110130032332300100
52441142002033240
6105352521542000
76356560206120
oct1243416766020
9280023752030
1090668002320
11354a77a6125
12156a4644900
13871c33a31c
144561906c80
152559d2d430
hex151c3bec10

90668002320 has 160 divisors (see below), whose sum is σ = 356915370240. Its totient is φ = 20724111360.

The previous prime is 90668002309. The next prime is 90668002333. The reversal of 90668002320 is 2320086609.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2983161 + ... + 3013400.

It is an arithmetic number, because the mean of its divisors is an integer number (2230721064).

Almost surely, 290668002320 is an apocalyptic number.

90668002320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90668002320 is an abundant number, since it is smaller than the sum of its proper divisors (266247367920).

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

90668002320 is a wasteful number, since it uses less digits than its factorization.

90668002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5996590 (or 5996578 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 90668002320 its reverse (2320086609), we get a palindrome (92988088929).

The spelling of 90668002320 in words is "ninety billion, six hundred sixty-eight million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 5996561 11993122 17989683 23986244 29982805 35979366 41975927 47972488 53969049 59965610 71958732 83951854 89948415 95944976 107938098 119931220 125927781 143917464 161907147 167903708 179896830 209879635 215876196 239862440 251855562 269845245 287834928 323814294 335807416 359793660 377783343 419759270 431752392 479724880 503711124 539690490 629638905 647628588 671614832 719587320 755566686 809535735 839518540 863504784 1007422248 1079380980 1133350029 1259277810 1295257176 1439174640 1511133372 1619071470 1679037080 1888916715 2014844496 2158761960 2266700058 2518555620 2590514352 3022266744 3238142940 3358074160 3777833430 4317523920 4533400116 5037111240 5666750145 6044533488 6476285880 7555666860 9066800232 10074222480 11333500290 12952571760 15111333720 18133600464 22667000580 30222667440 45334001160 90668002320