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12784980 = 22351337443
BaseRepresentation
bin110000110001…
…010101010100
3220001112200210
4300301111110
511233104410
61134005420
7213445665
oct60612524
926045623
1012784980
1172425aa
124346870
1328583a0
1419ab36c
1511c8220
hexc31554

12784980 has 96 divisors (see below), whose sum is σ = 39682944. Its totient is φ = 3055104.

The previous prime is 12784951. The next prime is 12784991. The reversal of 12784980 is 8948721.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 28639 + ... + 29081.

It is an arithmetic number, because the mean of its divisors is an integer number (413364).

Almost surely, 212784980 is an apocalyptic number.

12784980 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 12784980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19841472).

12784980 is an abundant number, since it is smaller than the sum of its proper divisors (26897964).

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

12784980 is a wasteful number, since it uses less digits than its factorization.

12784980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 12784980 is about 3575.6090390310. The cubic root of 12784980 is about 233.8298858565.

The spelling of 12784980 in words is "twelve million, seven hundred eighty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 443 444 481 555 740 780 886 962 1110 1329 1443 1772 1924 2215 2220 2405 2658 2886 4430 4810 5316 5759 5772 6645 7215 8860 9620 11518 13290 14430 16391 17277 23036 26580 28795 28860 32782 34554 49173 57590 65564 69108 81955 86385 98346 115180 163910 172770 196692 213083 245865 327820 345540 426166 491730 639249 852332 983460 1065415 1278498 2130830 2556996 3196245 4261660 6392490 12784980