Search a number
-
+
11030594960 = 2457114394079
BaseRepresentation
bin10100100010111100…
…11000010110010000
31001110202000021122002
422101132120112100
5140042313014320
65022315533132
7540230336660
oct122136302620
931422007562
1011030594960
114750535290
12217a15a1a8
13106a37a388
14768d961a0
154485d4675
hex291798590

11030594960 has 160 divisors (see below), whose sum is σ = 32055091200. Its totient is φ = 3429434880.

The previous prime is 11030594893. The next prime is 11030594969. The reversal of 11030594960 is 6949503011.

It is not an unprimeable number, because it can be changed into a prime (11030594969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2702201 + ... + 2706279.

It is an arithmetic number, because the mean of its divisors is an integer number (200344320).

Almost surely, 211030594960 is an apocalyptic number.

11030594960 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 11030594960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027545600).

11030594960 is an abundant number, since it is smaller than the sum of its proper divisors (21024496240).

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

11030594960 is a wasteful number, since it uses less digits than its factorization.

11030594960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The spelling of 11030594960 in words is "eleven billion, thirty million, five hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 439 440 560 616 770 878 880 1232 1540 1756 2195 3073 3080 3512 4079 4390 4829 6146 6160 7024 8158 8780 9658 12292 15365 16316 17560 19316 20395 24145 24584 28553 30730 32632 33803 35120 38632 40790 44869 48290 49168 57106 61460 65264 67606 77264 81580 89738 96580 114212 122920 135212 142765 163160 169015 179476 193160 224345 228424 245840 270424 285530 314083 326320 338030 358952 386320 448690 456848 540848 571060 628166 676060 717904 897380 1142120 1256332 1352120 1570415 1790681 1794760 2284240 2512664 2704240 3140830 3581362 3589520 5025328 6281660 7162724 8953405 12534767 12563320 14325448 17906810 19697491 25069534 25126640 28650896 35813620 39394982 50139068 62673835 71627240 78789964 98487455 100278136 125347670 137882437 143254480 157579928 196974910 200556272 250695340 275764874 315159856 393949820 501390680 551529748 689412185 787899640 1002781360 1103059496 1378824370 1575799280 2206118992 2757648740 5515297480 11030594960