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12017964 = 2237173827
BaseRepresentation
bin101101110110…
…000100101100
3211121120112210
4231312010230
511034033324
61105330420
7204102540
oct55660454
924546483
1012017964
116869302
124036a10
13264a22a
14184ba20
1510c5d29
hexb7612c

12017964 has 48 divisors (see below), whose sum is σ = 32272128. Its totient is φ = 3409728.

The previous prime is 12017959. The next prime is 12017969. The reversal of 12017964 is 46971021.

It is a happy number.

12017964 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12017959) and next prime (12017969).

It is not an unprimeable number, because it can be changed into a prime (12017969) 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, 14119 + ... + 14945.

It is an arithmetic number, because the mean of its divisors is an integer number (672336).

Almost surely, 212017964 is an apocalyptic number.

12017964 is a gapful number since it is divisible by the number (14) 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 12017964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136064).

12017964 is an abundant number, since it is smaller than the sum of its proper divisors (20254164).

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

12017964 is a wasteful number, since it uses less digits than its factorization.

12017964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 12017964 is about 3466.6935255370. The cubic root of 12017964 is about 229.0570340324.

Adding to 12017964 its reverse (46971021), we get a palindrome (58988985).

The spelling of 12017964 in words is "twelve million, seventeen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 346 519 692 827 1038 1211 1654 2076 2422 2481 3308 3633 4844 4962 5789 7266 9924 11578 14532 17367 23156 34734 69468 143071 286142 429213 572284 858426 1001497 1716852 2002994 3004491 4005988 6008982 12017964