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12302820 = 2233522783
BaseRepresentation
bin101110111011…
…100111100100
3212011001022000
4232323213210
511122142240
61115405300
7206400165
oct56734744
925131260
1012302820
116a43322
124153830
132719a9a
1418c376c
151130430
hexbbb9e4

12302820 has 48 divisors (see below), whose sum is σ = 38277120. Its totient is φ = 3280608.

The previous prime is 12302813. The next prime is 12302821. The reversal of 12302820 is 2820321.

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 = 12302793 and 12302802.

It is not an unprimeable number, because it can be changed into a prime (12302821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10852 + ... + 11931.

It is an arithmetic number, because the mean of its divisors is an integer number (797440).

Almost surely, 212302820 is an apocalyptic number.

12302820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12302820 is an abundant number, since it is smaller than the sum of its proper divisors (25974300).

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

12302820 is a wasteful number, since it uses less digits than its factorization.

12302820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22801 (or 22793 counting only the distinct ones).

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

The square root of 12302820 is about 3507.5375978028. The cubic root of 12302820 is about 230.8526636780.

The spelling of 12302820 in words is "twelve million, three hundred two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 22783 45566 68349 91132 113915 136698 205047 227830 273396 341745 410094 455660 615141 683490 820188 1025235 1230282 1366980 2050470 2460564 3075705 4100940 6151410 12302820