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12017220 = 2235533779
BaseRepresentation
bin101101110101…
…111001000100
3211121112112020
4231311321010
511034022340
61105323140
7204100425
oct55657104
924545466
1012017220
116868796
1240364b0
132649aa7
14184b64c
1510c59d0
hexb75e44

12017220 has 48 divisors (see below), whose sum is σ = 34292160. Its totient is φ = 3143296.

The previous prime is 12017209. The next prime is 12017221. The reversal of 12017220 is 2271021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12017220.

It is not an unprimeable number, because it can be changed into a prime (12017221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291 + ... + 5069.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 212017220 is an apocalyptic number.

12017220 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 12017220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146080).

12017220 is an abundant number, since it is smaller than the sum of its proper divisors (22274940).

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

12017220 is a wasteful number, since it uses less digits than its factorization.

12017220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 12017220 is about 3466.5862170152. The cubic root of 12017220 is about 229.0523071655.

Adding to 12017220 its reverse (2271021), we get a palindrome (14288241).

The spelling of 12017220 in words is "twelve million, seventeen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 3779 7558 11337 15116 18895 22674 37790 45348 56685 75580 113370 200287 226740 400574 600861 801148 1001435 1201722 2002870 2403444 3004305 4005740 6008610 12017220