Search a number
-
+
110781990 = 232511317353
BaseRepresentation
bin1101001101001…
…10011000100110
321201110022022200
412212212120212
5211330010430
614554235330
72513426364
oct646463046
9251408280
10110781990
1157596170
1231125b46
1319c4a297
14109da634
159ad4460
hex69a6626

110781990 has 96 divisors (see below), whose sum is σ = 316102176. Its totient is φ = 26695680.

The previous prime is 110781971. The next prime is 110781991. The reversal of 110781990 is 99187011.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110781991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313654 + ... + 314006.

It is an arithmetic number, because the mean of its divisors is an integer number (3292731).

Almost surely, 2110781990 is an apocalyptic number.

110781990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110781990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158051088).

110781990 is an abundant number, since it is smaller than the sum of its proper divisors (205320186).

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

110781990 is a wasteful number, since it uses less digits than its factorization.

110781990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The square root of 110781990 is about 10525.3023709535. The cubic root of 110781990 is about 480.2747125388.

The spelling of 110781990 in words is "one hundred ten million, seven hundred eighty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 317 330 353 495 634 706 951 990 1059 1585 1765 1902 2118 2853 3170 3177 3487 3530 3883 4755 5295 5706 6354 6974 7766 9510 10461 10590 11649 14265 15885 17435 19415 20922 23298 28530 31383 31770 34870 34947 38830 52305 58245 62766 69894 104610 111901 116490 156915 174735 223802 313830 335703 349470 559505 671406 1007109 1119010 1230911 1678515 2014218 2461822 3357030 3692733 5035545 6154555 7385466 10071090 11078199 12309110 18463665 22156398 36927330 55390995 110781990