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12934944 = 2533111361
BaseRepresentation
bin110001010101…
…111100100000
3220100011102000
4301111330200
511302404234
61141124000
7214642131
oct61257440
926304360
1012934944
117335240
1243b9600
1328ab719
141a09c88
151207899
hexc55f20

12934944 has 96 divisors (see below), whose sum is σ = 41186880. Its totient is φ = 3916800.

The previous prime is 12934939. The next prime is 12934951. The reversal of 12934944 is 44943921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12934899 and 12934908.

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 15 ways as a sum of consecutive naturals, for example, 8824 + ... + 10184.

It is an arithmetic number, because the mean of its divisors is an integer number (429030).

Almost surely, 212934944 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 12934944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20593440).

12934944 is an abundant number, since it is smaller than the sum of its proper divisors (28251936).

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

12934944 is a wasteful number, since it uses less digits than its factorization.

12934944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1377 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12934944 is about 3596.5183163721. The cubic root of 12934944 is about 234.7405859304.

The spelling of 12934944 in words is "twelve million, nine hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1361 1584 2376 2722 3168 4083 4752 5444 8166 9504 10888 12249 14971 16332 21776 24498 29942 32664 36747 43552 44913 48996 59884 65328 73494 89826 97992 119768 130656 134739 146988 179652 195984 239536 269478 293976 359304 391968 404217 479072 538956 587952 718608 808434 1077912 1175904 1437216 1616868 2155824 3233736 4311648 6467472 12934944