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11827290 = 2352361281
BaseRepresentation
bin101101000111…
…100001011010
3211020212222210
4231013201122
511011433130
61101255550
7202346616
oct55074132
924225883
1011827290
116749022
123b645b6
1325b14c7
1417dc346
1510895b0
hexb4785a

11827290 has 64 divisors (see below), whose sum is σ = 30212352. Its totient is φ = 2956800.

The previous prime is 11827271. The next prime is 11827297. The reversal of 11827290 is 9272811.

11827290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11827297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41950 + ... + 42230.

It is an arithmetic number, because the mean of its divisors is an integer number (472068).

Almost surely, 211827290 is an apocalyptic number.

11827290 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 11827290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15106176).

11827290 is an abundant number, since it is smaller than the sum of its proper divisors (18385062).

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

11827290 is a wasteful number, since it uses less digits than its factorization.

11827290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375.

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11827290 is about 3439.0827265421. The cubic root of 11827290 is about 227.8391833035.

The spelling of 11827290 in words is "eleven million, eight hundred twenty-seven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 61 69 115 122 138 183 230 281 305 345 366 562 610 690 843 915 1403 1405 1686 1830 2806 2810 4209 4215 6463 7015 8418 8430 12926 14030 17141 19389 21045 32315 34282 38778 42090 51423 64630 85705 96945 102846 171410 193890 257115 394243 514230 788486 1182729 1971215 2365458 3942430 5913645 11827290