Search a number
-
+
12166896 = 24373739
BaseRepresentation
bin101110011010…
…011011110000
3211220010211210
4232122123300
511103320041
61112440120
7205263000
oct56323360
924803753
1012166896
116960195
1240a9040
13269cc61
14188a000
151105016
hexb9a6f0

12166896 has 80 divisors (see below), whose sum is σ = 36704000. Its totient is φ = 3471552.

The previous prime is 12166879. The next prime is 12166901. The reversal of 12166896 is 69866121.

It is a congruent number.

It is an unprimeable number.

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, 16095 + ... + 16833.

It is an arithmetic number, because the mean of its divisors is an integer number (458800).

Almost surely, 212166896 is an apocalyptic number.

12166896 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 12166896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352000).

12166896 is an abundant number, since it is smaller than the sum of its proper divisors (24537104).

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

12166896 is an equidigital number, since it uses as much as digits as its factorization.

12166896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 751 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 12166896 is about 3488.1077964994. The cubic root of 12166896 is about 229.9993446736. Note that the first 3 decimals are identical.

The spelling of 12166896 in words is "twelve million, one hundred sixty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 739 784 1029 1176 1372 1478 2058 2217 2352 2744 2956 4116 4434 5173 5488 5912 8232 8868 10346 11824 15519 16464 17736 20692 31038 35472 36211 41384 62076 72422 82768 108633 124152 144844 217266 248304 253477 289688 434532 506954 579376 760431 869064 1013908 1520862 1738128 2027816 3041724 4055632 6083448 12166896