Search a number
-
+
12056672 = 251737599
BaseRepresentation
bin101101111111…
…100001100000
3211200112122102
4231333201200
511041303142
61110225532
7204323435
oct55774140
924615572
1012056672
1168953a1
1240552a8
132661a34
14185bb8c
1510d2532
hexb7f860

12056672 has 48 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 5511168.

The previous prime is 12056647. The next prime is 12056677. The reversal of 12056672 is 27665021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12056677) 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 7 ways as a sum of consecutive naturals, for example, 19829 + ... + 20427.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 212056672 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 12056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

12056672 is an abundant number, since it is smaller than the sum of its proper divisors (13798528).

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

12056672 is a wasteful number, since it uses less digits than its factorization.

12056672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 12056672 is about 3472.2718787560. The cubic root of 12056672 is about 229.3026895537.

The spelling of 12056672 in words is "twelve million, fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 599 629 1184 1198 1258 2396 2516 4792 5032 9584 10064 10183 19168 20128 20366 22163 40732 44326 81464 88652 162928 177304 325856 354608 376771 709216 753542 1507084 3014168 6028336 12056672