Search a number
-
+
12376144 = 2411193701
BaseRepresentation
bin101111001101…
…100001010000
3212021202212201
4233031201100
511132014034
61121132544
7210124024
oct57154120
925252781
1012376144
116a93420
12418a154
132744281
141902384
151147014
hexbcd850

12376144 has 40 divisors (see below), whose sum is σ = 27542880. Its totient is φ = 5328000.

The previous prime is 12376121. The next prime is 12376157. The reversal of 12376144 is 44167321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1494 + ... + 5194.

It is an arithmetic number, because the mean of its divisors is an integer number (688572).

Almost surely, 212376144 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 12376144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13771440).

12376144 is an abundant number, since it is smaller than the sum of its proper divisors (15166736).

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

12376144 is a wasteful number, since it uses less digits than its factorization.

12376144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3733 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 12376144 is about 3517.9744171895. The cubic root of 12376144 is about 231.3103778063.

It can be divided in two parts, 1237 and 6144, that added together give a triangular number (7381 = T121).

The spelling of 12376144 in words is "twelve million, three hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 3701 7402 14804 29608 40711 59216 70319 81422 140638 162844 281276 325688 562552 651376 773509 1125104 1547018 3094036 6188072 12376144