Search a number
-
+
10905228 = 223217103173
BaseRepresentation
bin101001100110…
…011010001100
3202112001011100
4221212122030
510242431403
61025423100
7161456445
oct51463214
922461140
1010905228
116179294
12379aa90
13234a8c9
14163c2cc
15e562a3
hexa6668c

10905228 has 72 divisors (see below), whose sum is σ = 29641248. Its totient is φ = 3368448.

The previous prime is 10905173. The next prime is 10905241. The reversal of 10905228 is 82250901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62950 + ... + 63122.

It is an arithmetic number, because the mean of its divisors is an integer number (411684).

Almost surely, 210905228 is an apocalyptic number.

10905228 is a gapful number since it is divisible by the number (18) 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 10905228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820624).

10905228 is an abundant number, since it is smaller than the sum of its proper divisors (18736020).

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

10905228 is a wasteful number, since it uses less digits than its factorization.

10905228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10905228 is about 3302.3064666987. The cubic root of 10905228 is about 221.7574658325.

The spelling of 10905228 in words is "ten million, nine hundred five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 103 153 173 204 206 306 309 346 412 519 612 618 692 927 1038 1236 1557 1751 1854 2076 2941 3114 3502 3708 5253 5882 6228 7004 8823 10506 11764 15759 17646 17819 21012 26469 31518 35292 35638 52938 53457 63036 71276 105876 106914 160371 213828 302923 320742 605846 641484 908769 1211692 1817538 2726307 3635076 5452614 10905228