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12332820 = 223517107113
BaseRepresentation
bin101111000010…
…111100010100
3212012120110010
4233002330110
511124122240
61120200220
7206553513
oct57027424
925176403
1012332820
116a63915
124169070
13272a636
1418d067a
151139280
hexbc2f14

12332820 has 96 divisors (see below), whose sum is σ = 37231488. Its totient is φ = 3039232.

The previous prime is 12332779. The next prime is 12332833. The reversal of 12332820 is 2823321.

12332820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 109084 + ... + 109196.

It is an arithmetic number, because the mean of its divisors is an integer number (387828).

Almost surely, 212332820 is an apocalyptic number.

12332820 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 12332820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744).

12332820 is an abundant number, since it is smaller than the sum of its proper divisors (24898668).

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

12332820 is a wasteful number, since it uses less digits than its factorization.

12332820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12332820 is about 3511.8114983581. The cubic root of 12332820 is about 231.0401534367.

The spelling of 12332820 in words is "twelve million, three hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 107 113 170 204 214 226 255 321 339 340 428 452 510 535 565 642 678 1020 1070 1130 1284 1356 1605 1695 1819 1921 2140 2260 3210 3390 3638 3842 5457 5763 6420 6780 7276 7684 9095 9605 10914 11526 12091 18190 19210 21828 23052 24182 27285 28815 36273 36380 38420 48364 54570 57630 60455 72546 109140 115260 120910 145092 181365 205547 241820 362730 411094 616641 725460 822188 1027735 1233282 2055470 2466564 3083205 4110940 6166410 12332820