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12203940 = 223573593
BaseRepresentation
bin101110100011…
…011110100100
3211222000122210
4232203132210
511111011230
61113323420
7205506000
oct56433644
924860583
1012203940
116986001
124106570
1326b3a88
141899700
151110eb0
hexba37a4

12203940 has 96 divisors (see below), whose sum is σ = 39916800. Its totient is φ = 2784768.

The previous prime is 12203929. The next prime is 12203941. The reversal of 12203940 is 4930221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20284 + ... + 20876.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 212203940 is an apocalyptic number.

12203940 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 12203940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

12203940 is an abundant number, since it is smaller than the sum of its proper divisors (27712860).

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

12203940 is a wasteful number, since it uses less digits than its factorization.

12203940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12203940 is about 3493.4138031444. The cubic root of 12203940 is about 230.2325310564.

The spelling of 12203940 in words is "twelve million, two hundred three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 593 686 735 980 1029 1186 1372 1470 1715 1779 2058 2372 2940 2965 3430 3558 4116 4151 5145 5930 6860 7116 8302 8895 10290 11860 12453 16604 17790 20580 20755 24906 29057 35580 41510 49812 58114 62265 83020 87171 116228 124530 145285 174342 203399 249060 290570 348684 406798 435855 581140 610197 813596 871710 1016995 1220394 1743420 2033990 2440788 3050985 4067980 6101970 12203940