Search a number
-
+
10949220 = 22325591031
BaseRepresentation
bin101001110001…
…001001100100
3202121021111200
4221301021210
510300333340
61030402500
7162031632
oct51611144
922537450
1010949220
1161a9347
123800430
132364939
141650352
15e64330
hexa71264

10949220 has 72 divisors (see below), whose sum is σ = 33808320. Its totient is φ = 2867520.

The previous prime is 10949201. The next prime is 10949227. The reversal of 10949220 is 2294901.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10949227) 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, 10105 + ... + 11135.

It is an arithmetic number, because the mean of its divisors is an integer number (469560).

Almost surely, 210949220 is an apocalyptic number.

10949220 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 10949220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904160).

10949220 is an abundant number, since it is smaller than the sum of its proper divisors (22859100).

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

10949220 is a wasteful number, since it uses less digits than its factorization.

10949220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10949220 is about 3308.9605618683. The cubic root of 10949220 is about 222.0552577324.

The spelling of 10949220 in words is "ten million, nine hundred forty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1031 1062 1180 1770 2062 2124 2655 3093 3540 4124 5155 5310 6186 9279 10310 10620 12372 15465 18558 20620 30930 37116 46395 60829 61860 92790 121658 182487 185580 243316 304145 364974 547461 608290 729948 912435 1094922 1216580 1824870 2189844 2737305 3649740 5474610 10949220