Search a number
-
+
10984780 = 2254353241
BaseRepresentation
bin101001111001…
…110101001100
3202200002021201
4221321311030
510303003110
61031235244
7162240412
oct51716514
922602251
1010984780
116223034
123818b24
132377b91
14165d2b2
15e6eb3a
hexa79d4c

10984780 has 48 divisors (see below), whose sum is σ = 24149664. Its totient is φ = 4193280.

The previous prime is 10984769. The next prime is 10984781. The reversal of 10984780 is 8748901.

It is not an unprimeable number, because it can be changed into a prime (10984781) 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 15 ways as a sum of consecutive naturals, for example, 45460 + ... + 45700.

It is an arithmetic number, because the mean of its divisors is an integer number (503118).

Almost surely, 210984780 is an apocalyptic number.

10984780 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 10984780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12074832).

10984780 is an abundant number, since it is smaller than the sum of its proper divisors (13164884).

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

10984780 is a wasteful number, since it uses less digits than its factorization.

10984780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 10984780 is about 3314.3294947847. The cubic root of 10984780 is about 222.2953890553.

The spelling of 10984780 in words is "ten million, nine hundred eighty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 43 53 86 106 172 212 215 241 265 430 482 530 860 964 1060 1205 2279 2410 4558 4820 9116 10363 11395 12773 20726 22790 25546 41452 45580 51092 51815 63865 103630 127730 207260 255460 549239 1098478 2196956 2746195 5492390 10984780