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12785220 = 22325773139
BaseRepresentation
bin110000110001…
…011001000100
3220001120000200
4300301121010
511233111340
61134010500
7213446460
oct60613104
926046020
1012785220
1172427a8
124346a30
132858526
1419ab4a0
1511c8330
hexc31644

12785220 has 144 divisors (see below), whose sum is σ = 45252480. Its totient is φ = 2861568.

The previous prime is 12785209. The next prime is 12785221. The reversal of 12785220 is 2258721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12785221) 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, 91911 + ... + 92049.

Almost surely, 212785220 is an apocalyptic number.

12785220 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 12785220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22626240).

12785220 is an abundant number, since it is smaller than the sum of its proper divisors (32467260).

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

12785220 is a wasteful number, since it uses less digits than its factorization.

12785220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12785220 is about 3575.6425995896. The cubic root of 12785220 is about 233.8313490010.

The spelling of 12785220 in words is "twelve million, seven hundred eighty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 73 84 90 105 126 139 140 146 180 210 219 252 278 292 315 365 417 420 438 511 556 630 657 695 730 834 876 973 1022 1095 1251 1260 1314 1390 1460 1533 1668 1946 2044 2085 2190 2502 2555 2628 2780 2919 3066 3285 3892 4170 4380 4599 4865 5004 5110 5838 6132 6255 6570 7665 8340 8757 9198 9730 10147 10220 11676 12510 13140 14595 15330 17514 18396 19460 20294 22995 25020 29190 30441 30660 35028 40588 43785 45990 50735 58380 60882 71029 87570 91323 91980 101470 121764 142058 152205 175140 182646 202940 213087 284116 304410 355145 365292 426174 456615 608820 639261 710290 852348 913230 1065435 1278522 1420580 1826460 2130870 2557044 3196305 4261740 6392610 12785220