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12885420 = 22351989127
BaseRepresentation
bin110001001001…
…110110101100
3220020122110210
4301021312230
511244313140
61140102420
7214344552
oct61116654
926218423
1012885420
117301009
124394a10
132892012
1419d5bd2
1511e7d80
hexc49dac

12885420 has 96 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 3193344.

The previous prime is 12885419. The next prime is 12885421. The reversal of 12885420 is 2458821.

12885420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12885419) and next prime (12885421).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12885421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101397 + ... + 101523.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 212885420 is an apocalyptic number.

12885420 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 12885420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

12885420 is an abundant number, since it is smaller than the sum of its proper divisors (25821780).

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

12885420 is a wasteful number, since it uses less digits than its factorization.

12885420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 12885420 is about 3589.6267215408. The cubic root of 12885420 is about 234.4406191377.

The spelling of 12885420 in words is "twelve million, eight hundred eighty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 89 95 114 127 178 190 228 254 267 285 356 380 381 445 508 534 570 635 762 890 1068 1140 1270 1335 1524 1691 1780 1905 2413 2540 2670 3382 3810 4826 5073 5340 6764 7239 7620 8455 9652 10146 11303 12065 14478 16910 20292 22606 24130 25365 28956 33820 33909 36195 45212 48260 50730 56515 67818 72390 101460 113030 135636 144780 169545 214757 226060 339090 429514 644271 678180 859028 1073785 1288542 2147570 2577084 3221355 4295140 6442710 12885420