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12977976 = 23311241109
BaseRepresentation
bin110001100000…
…011100111000
3220102100102210
4301200130320
511310243401
61142055120
7215211444
oct61403470
926370383
1012977976
117364600
12441a4a0
1328c519b
141a1b824
1512154d6
hexc60738

12977976 has 96 divisors (see below), whose sum is σ = 36867600. Its totient is φ = 3801600.

The previous prime is 12977971. The next prime is 12977989. The reversal of 12977976 is 67977921.

It is a super-2 number, since 2×129779762 = 336855722113152, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12977971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119010 + ... + 119118.

Almost surely, 212977976 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 12977976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18433800).

12977976 is an abundant number, since it is smaller than the sum of its proper divisors (23889624).

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

12977976 is a wasteful number, since it uses less digits than its factorization.

12977976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its digits is 333396, while the sum is 48.

The square root of 12977976 is about 3602.4958015243. The cubic root of 12977976 is about 235.0006096257. Note that the first 3 decimals are identical.

Subtracting 12977976 from its reverse (67977921), we obtain a palindrome (54999945).

The spelling of 12977976 in words is "twelve million, nine hundred seventy-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 109 121 123 132 164 218 242 246 264 327 328 363 436 451 484 492 654 726 872 902 968 984 1199 1308 1353 1452 1804 2398 2616 2706 2904 3597 3608 4469 4796 4961 5412 7194 8938 9592 9922 10824 13189 13407 14388 14883 17876 19844 26378 26814 28776 29766 35752 39567 39688 49159 52756 53628 59532 79134 98318 105512 107256 119064 147477 158268 196636 294954 316536 393272 540749 589908 1081498 1179816 1622247 2162996 3244494 4325992 6488988 12977976