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12382020 = 22325731317
BaseRepresentation
bin101111001110…
…111101000100
3212022001221100
4233032331010
511132211040
61121220100
7210150120
oct57167504
925261840
1012382020
116a97882
124191630
132746b51
141904580
151148b30
hexbcef44

12382020 has 144 divisors (see below), whose sum is σ = 44448768. Its totient is φ = 2730240.

The previous prime is 12381991. The next prime is 12382021. The reversal of 12382020 is 2028321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12381984 and 12382002.

It is not an unprimeable number, because it can be changed into a prime (12382021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38902 + ... + 39218.

It is an arithmetic number, because the mean of its divisors is an integer number (308672).

Almost surely, 212382020 is an apocalyptic number.

12382020 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 12382020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22224384).

12382020 is an abundant number, since it is smaller than the sum of its proper divisors (32066748).

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

12382020 is a wasteful number, since it uses less digits than its factorization.

12382020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12382020 is about 3518.8094577570. The cubic root of 12382020 is about 231.3469795333.

The spelling of 12382020 in words is "twelve million, three hundred eighty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 317 372 420 434 465 558 620 630 634 651 868 930 951 1085 1116 1260 1268 1302 1395 1585 1860 1902 1953 2170 2219 2604 2790 2853 3170 3255 3804 3906 4340 4438 4755 5580 5706 6340 6510 6657 7812 8876 9510 9765 9827 11095 11412 13020 13314 14265 19020 19530 19654 19971 22190 26628 28530 29481 33285 39060 39308 39942 44380 49135 57060 58962 66570 68789 79884 88443 98270 99855 117924 133140 137578 147405 176886 196540 199710 206367 275156 294810 343945 353772 399420 412734 442215 589620 619101 687890 825468 884430 1031835 1238202 1375780 1768860 2063670 2476404 3095505 4127340 6191010 12382020