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12968280 = 233251317163
BaseRepresentation
bin110001011110…
…000101011000
3220101212010200
4301132011120
511304441110
61141542200
7215141253
oct61360530
926355120
1012968280
117358296
124414960
1328c0950
141a1809a
1512126c0
hexc5e158

12968280 has 192 divisors, whose sum is σ = 48353760. Its totient is φ = 2985984.

The previous prime is 12968273. The next prime is 12968281. The reversal of 12968280 is 8286921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12968281) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 79479 + ... + 79641.

Almost surely, 212968280 is an apocalyptic number.

12968280 is a gapful number since it is divisible by the number (10) 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 12968280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24176880).

12968280 is an abundant number, since it is smaller than the sum of its proper divisors (35385480).

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

12968280 is a wasteful number, since it uses less digits than its factorization.

12968280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12968280 is about 3601.1498163781. The cubic root of 12968280 is about 234.9420711295.

The spelling of 12968280 in words is "twelve million, nine hundred sixty-eight thousand, two hundred eighty".