Search a number
-
+
11350980 = 22325193319
BaseRepresentation
bin101011010011…
…001111000100
3210100200121200
4223103033010
510401212410
61043142500
7165324144
oct53231704
923320550
1011350980
116453183
123974a30
132475774
141716924
15ee33c0
hexad33c4

11350980 has 72 divisors (see below), whose sum is σ = 36254400. Its totient is φ = 2866752.

The previous prime is 11350979. The next prime is 11350987. The reversal of 11350980 is 8905311.

11350980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11350987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1761 + ... + 5079.

Almost surely, 211350980 is an apocalyptic number.

11350980 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 11350980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127200).

11350980 is an abundant number, since it is smaller than the sum of its proper divisors (24903420).

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

11350980 is a wasteful number, since it uses less digits than its factorization.

11350980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 11350980 is about 3369.1215472286. The cubic root of 11350980 is about 224.7386595301.

The spelling of 11350980 in words is "eleven million, three hundred fifty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3319 3420 6638 9957 13276 16595 19914 29871 33190 39828 49785 59742 63061 66380 99570 119484 126122 149355 189183 199140 252244 298710 315305 378366 567549 597420 630610 756732 945915 1135098 1261220 1891830 2270196 2837745 3783660 5675490 11350980