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12322820 = 225616141
BaseRepresentation
bin101111000000…
…100000000100
3212012001201202
4233000200010
511123312240
61120042032
7206512406
oct57004004
925161652
1012322820
116a57354
124163318
132725c13
1418cab76
151136315
hexbc0804

12322820 has 12 divisors (see below), whose sum is σ = 25877964. Its totient is φ = 4929120.

The previous prime is 12322819. The next prime is 12322823. The reversal of 12322820 is 2822321.

It can be written as a sum of positive squares in 2 ways, for example, as 1577536 + 10745284 = 1256^2 + 3278^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 616141 = 12322820 / (1 + 2 + 3 + 2 + 2 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 12322792 and 12322801.

It is not an unprimeable number, because it can be changed into a prime (12322823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 308051 + ... + 308090.

It is an arithmetic number, because the mean of its divisors is an integer number (2156497).

Almost surely, 212322820 is an apocalyptic number.

12322820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12322820 is an abundant number, since it is smaller than the sum of its proper divisors (13555144).

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

12322820 is a wasteful number, since it uses less digits than its factorization.

12322820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616150 (or 616148 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 12322820 is about 3510.3874430040. The cubic root of 12322820 is about 230.9776906673.

The spelling of 12322820 in words is "twelve million, three hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 616141 1232282 2464564 3080705 6161410 12322820