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12968412 = 22319232473
BaseRepresentation
bin110001011110…
…000111011100
3220101212022120
4301132013130
511304442122
61141542540
7215141532
oct61360734
926355276
1012968412
1173583a6
124414a50
1328c0a22
141a18152
15121275c
hexc5e1dc

12968412 has 48 divisors (see below), whose sum is σ = 33250560. Its totient is φ = 3915648.

The previous prime is 12968407. The next prime is 12968429. The reversal of 12968412 is 21486921.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4008 + ... + 6480.

It is an arithmetic number, because the mean of its divisors is an integer number (692720).

Almost surely, 212968412 is an apocalyptic number.

12968412 is a gapful number since it is divisible by the number (12) 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 12968412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16625280).

12968412 is an abundant number, since it is smaller than the sum of its proper divisors (20282148).

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

12968412 is a wasteful number, since it uses less digits than its factorization.

12968412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2520 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 12968412 is about 3601.1681438111. The cubic root of 12968412 is about 234.9428682604.

The spelling of 12968412 in words is "twelve million, nine hundred sixty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2473 2622 4946 5244 7419 9892 14838 29676 46987 56879 93974 113758 140961 170637 187948 227516 281922 341274 563844 682548 1080701 2161402 3242103 4322804 6484206 12968412