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12823860 = 22357191607
BaseRepresentation
bin110000111010…
…110100110100
3220010112000210
4300322310310
511240330420
61134505420
7214000230
oct60726464
926115023
1012823860
117269835
124365270
13286ccaa
1419bb5c0
1511d49e0
hexc3ad34

12823860 has 96 divisors (see below), whose sum is σ = 43223040. Its totient is φ = 2775168.

The previous prime is 12823859. The next prime is 12823871. The reversal of 12823860 is 6832821.

12823860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7177 + ... + 8783.

It is an arithmetic number, because the mean of its divisors is an integer number (450240).

Almost surely, 212823860 is an apocalyptic number.

12823860 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 12823860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21611520).

12823860 is an abundant number, since it is smaller than the sum of its proper divisors (30399180).

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

12823860 is a wasteful number, since it uses less digits than its factorization.

12823860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 12823860 is about 3581.0417478717. The cubic root of 12823860 is about 234.0666768862.

The spelling of 12823860 in words is "twelve million, eight hundred twenty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1607 1995 2660 3214 3990 4821 6428 7980 8035 9642 11249 16070 19284 22498 24105 30533 32140 33747 44996 48210 56245 61066 67494 91599 96420 112490 122132 134988 152665 168735 183198 213731 224980 305330 337470 366396 427462 457995 610660 641193 674940 854924 915990 1068655 1282386 1831980 2137310 2564772 3205965 4274620 6411930 12823860