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11529216 = 21034139
BaseRepresentation
bin101011111110…
…110000000000
3210200202010000
4223332300000
510422413331
61051040000
7166665606
oct53766000
923622100
1011529216
116565086
123a40000
13250892a
141761876
15102b0e6
hexafec00

11529216 has 110 divisors (see below), whose sum is σ = 34676180. Its totient is φ = 3815424.

The previous prime is 11529197. The next prime is 11529223. The reversal of 11529216 is 61292511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11529216.

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 9 ways as a sum of consecutive naturals, for example, 82875 + ... + 83013.

It is an arithmetic number, because the mean of its divisors is an integer number (315238).

It is a vampire number, since it can be written as 12519216 (with its own digits).

Almost surely, 211529216 is an apocalyptic number.

11529216 is a gapful number since it is divisible by the number (16) 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 11529216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338090).

11529216 is an abundant number, since it is smaller than the sum of its proper divisors (23146964).

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

11529216 is an equidigital number, since it uses as much as digits as its factorization.

11529216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

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

The square root of 11529216 is about 3395.4699232949. The cubic root of 11529216 is about 225.9088571841.

The spelling of 11529216 in words is "eleven million, five hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 139 144 162 192 216 256 278 288 324 384 417 432 512 556 576 648 768 834 864 1024 1112 1152 1251 1296 1536 1668 1728 2224 2304 2502 2592 3072 3336 3456 3753 4448 4608 5004 5184 6672 6912 7506 8896 9216 10008 10368 11259 13344 13824 15012 17792 20016 20736 22518 26688 27648 30024 35584 40032 41472 45036 53376 60048 71168 80064 82944 90072 106752 120096 142336 160128 180144 213504 240192 320256 360288 427008 480384 640512 720576 960768 1281024 1441152 1921536 2882304 3843072 5764608 11529216