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1322820 = 223257349
BaseRepresentation
bin101000010111101000100
32111012120100
411002331010
5314312240
644204100
714146422
oct5027504
92435510
101322820
11823944
12539630
13374145
14266112
151b1e30
hex142f44

1322820 has 36 divisors (see below), whose sum is σ = 4013100. Its totient is φ = 352704.

The previous prime is 1322813. The next prime is 1322831. The reversal of 1322820 is 282231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 695556 + 627264 = 834^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1322793 and 1322802.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3495 + ... + 3854.

It is an arithmetic number, because the mean of its divisors is an integer number (111475).

21322820 is an apocalyptic number.

1322820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322820 is an abundant number, since it is smaller than the sum of its proper divisors (2690280).

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

1322820 is a wasteful number, since it uses less digits than its factorization.

1322820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7364 (or 7359 counting only the distinct ones).

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

The square root of 1322820 is about 1150.1391220196. The cubic root of 1322820 is about 109.7741924277.

The spelling of 1322820 in words is "one million, three hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7349 14698 22047 29396 36745 44094 66141 73490 88188 110235 132282 146980 220470 264564 330705 440940 661410 1322820