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11941008 = 243476779
BaseRepresentation
bin101101100011…
…010010010000
3211110122222120
4231203102100
511024103013
61103534240
7203332302
oct55432220
924418876
1011941008
116816502
123bba380
1326211b1
14182b972
1510ad123
hexb63490

11941008 has 80 divisors (see below), whose sum is σ = 32378880. Its totient is φ = 3788928.

The previous prime is 11941003. The next prime is 11941019. The reversal of 11941008 is 80014911.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (11941003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151113 + ... + 151191.

It is an arithmetic number, because the mean of its divisors is an integer number (404736).

Almost surely, 211941008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11941008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189440).

11941008 is an abundant number, since it is smaller than the sum of its proper divisors (20437872).

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

11941008 is a wasteful number, since it uses less digits than its factorization.

11941008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11941008 is about 3455.5763629241. The cubic root of 11941008 is about 228.5670710479.

Adding to 11941008 its reverse (80014911), we get a palindrome (91955919).

The spelling of 11941008 in words is "eleven million, nine hundred forty-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 67 79 94 134 141 158 188 201 237 268 282 316 376 402 474 536 564 632 752 804 948 1072 1128 1264 1608 1896 2256 3149 3216 3713 3792 5293 6298 7426 9447 10586 11139 12596 14852 15879 18894 21172 22278 25192 29704 31758 37788 42344 44556 50384 59408 63516 75576 84688 89112 127032 151152 178224 248771 254064 497542 746313 995084 1492626 1990168 2985252 3980336 5970504 11941008