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12016968 = 23319373
BaseRepresentation
bin101101110101…
…110101001000
3211121112011220
4231311311020
511034020333
61105322040
7204066615
oct55656510
924545156
1012016968
116868587
124036320
132649942
14184b50c
1510c58b3
hexb75d48

12016968 has 64 divisors (see below), whose sum is σ = 32145600. Its totient is φ = 3742848.

The previous prime is 12016931. The next prime is 12016969. The reversal of 12016968 is 86961021.

It is not an unprimeable number, because it can be changed into a prime (12016969) 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, 164580 + ... + 164652.

It is an arithmetic number, because the mean of its divisors is an integer number (502275).

Almost surely, 212016968 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 12016968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16072800).

12016968 is an abundant number, since it is smaller than the sum of its proper divisors (20128632).

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

12016968 is an equidigital number, since it uses as much as digits as its factorization.

12016968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 12016968 is about 3466.5498698273. The cubic root of 12016968 is about 229.0507060857.

Adding to 12016968 its reverse (86961021), we get a palindrome (98977989).

The spelling of 12016968 in words is "twelve million, sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 73 76 114 146 152 219 228 292 361 438 456 584 722 876 1083 1387 1444 1752 2166 2774 2888 4161 4332 5548 6859 8322 8664 11096 13718 16644 20577 26353 27436 33288 41154 52706 54872 79059 82308 105412 158118 164616 210824 316236 500707 632472 1001414 1502121 2002828 3004242 4005656 6008484 12016968