Search a number
-
+
10906997880 = 2335198595569
BaseRepresentation
bin10100010100001101…
…11001010001111000
31001011010102220022110
422022012321101320
5134314142413010
65002142452320
7534166644432
oct121206712170
931133386273
1010906997880
114697796a39
1221448940a0
13104a8940cc
147567c1652
1543c81d120
hex28a1b9478

10906997880 has 128 divisors (see below), whose sum is σ = 34489440000. Its totient is φ = 2751750144.

The previous prime is 10906997873. The next prime is 10906997897. The reversal of 10906997880 is 8879960901.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 10906997880.

It is a congruent number.

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, 1955736 + ... + 1961304.

It is an arithmetic number, because the mean of its divisors is an integer number (269448750).

Almost surely, 210906997880 is an apocalyptic number.

10906997880 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 10906997880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17244720000).

10906997880 is an abundant number, since it is smaller than the sum of its proper divisors (23582442120).

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

10906997880 is a wasteful number, since it uses less digits than its factorization.

10906997880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 57.

The spelling of 10906997880 in words is "ten billion, nine hundred six million, nine hundred ninety-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 859 1140 1718 2280 2577 3436 4295 5154 5569 6872 8590 10308 11138 12885 16321 16707 17180 20616 22276 25770 27845 32642 33414 34360 44552 48963 51540 55690 65284 66828 81605 83535 97926 103080 105811 111380 130568 133656 163210 167070 195852 211622 222760 244815 317433 326420 334140 391704 423244 489630 529055 634866 652840 668280 846488 979260 1058110 1269732 1587165 1958520 2116220 2539464 3174330 4232440 4783771 6348660 9567542 12697320 14351313 19135084 23918855 28702626 38270168 47837710 57405252 71756565 90891649 95675420 114810504 143513130 181783298 191350840 272674947 287026260 363566596 454458245 545349894 574052520 727133192 908916490 1090699788 1363374735 1817832980 2181399576 2726749470 3635665960 5453498940 10906997880