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12166938 = 2327611583
BaseRepresentation
bin101110011010…
…011100011010
3211220010220100
4232122130122
511103320223
61112440230
7205263060
oct56323432
924803810
1012166938
116960223
1240a9076
13269cc94
14188a030
151105043
hexb9a71a

12166938 has 48 divisors (see below), whose sum is σ = 30640896. Its totient is φ = 3417120.

The previous prime is 12166933. The next prime is 12166939. The reversal of 12166938 is 83966121.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12166933) 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 23 ways as a sum of consecutive naturals, for example, 6895 + ... + 8477.

It is an arithmetic number, because the mean of its divisors is an integer number (638352).

Almost surely, 212166938 is an apocalyptic number.

12166938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12166938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448).

12166938 is an abundant number, since it is smaller than the sum of its proper divisors (18473958).

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

12166938 is a wasteful number, since it uses less digits than its factorization.

12166938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1656 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 12166938 is about 3488.1138169504. The cubic root of 12166938 is about 229.9996093251. Note that the first 3 decimals are identical.

The spelling of 12166938 in words is "twelve million, one hundred sixty-six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 1583 2562 3166 3843 4749 7686 9498 11081 14247 22162 28494 33243 66486 96563 99729 193126 199458 289689 579378 675941 869067 1351882 1738134 2027823 4055646 6083469 12166938