Search a number
-
+
12944176 = 247472459
BaseRepresentation
bin110001011000…
…001100110000
3220100122001221
4301120030300
511303203201
61141234424
7215011060
oct61301460
926318057
1012944176
117341173
124402a14
1328b299b
141a0d3a0
15120a4a1
hexc58330

12944176 has 40 divisors (see below), whose sum is σ = 29283840. Its totient is φ = 5427264.

The previous prime is 12944159. The next prime is 12944177. The reversal of 12944176 is 67144921.

It is not an unprimeable number, because it can be changed into a prime (12944177) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4035 + ... + 6493.

It is an arithmetic number, because the mean of its divisors is an integer number (732096).

Almost surely, 212944176 is an apocalyptic number.

12944176 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 12944176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641920).

12944176 is an abundant number, since it is smaller than the sum of its proper divisors (16339664).

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

12944176 is a wasteful number, since it uses less digits than its factorization.

12944176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2515 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 12944176 is about 3597.8015509475. The cubic root of 12944176 is about 234.7964194337.

The spelling of 12944176 in words is "twelve million, nine hundred forty-four thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2459 2632 4918 5264 9836 17213 19672 34426 39344 68852 115573 137704 231146 275408 462292 809011 924584 1618022 1849168 3236044 6472088 12944176