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1323120 = 243537149
BaseRepresentation
bin101000011000001110000
32111012222110
411003001300
5314314440
644205320
714150331
oct5030160
92435873
101323120
11824097
12539840
13374316
14266288
151b2080
hex143070

1323120 has 80 divisors (see below), whose sum is σ = 4240800. Its totient is φ = 340992.

The previous prime is 1323109. The next prime is 1323131. The reversal of 1323120 is 213231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1323109) and next prime (1323131).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1323096 and 1323105.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8806 + ... + 8954.

It is an arithmetic number, because the mean of its divisors is an integer number (53010).

21323120 is an apocalyptic number.

1323120 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 1323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120400).

1323120 is an abundant number, since it is smaller than the sum of its proper divisors (2917680).

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

1323120 is a wasteful number, since it uses less digits than its factorization.

1323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1323120 is about 1150.2695336311. The cubic root of 1323120 is about 109.7824902985.

Adding to 1323120 its reverse (213231), we get a palindrome (1536351).

The spelling of 1323120 in words is "one million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 149 185 222 240 296 298 370 444 447 555 592 596 740 745 888 894 1110 1192 1480 1490 1776 1788 2220 2235 2384 2960 2980 3576 4440 4470 5513 5960 7152 8880 8940 11026 11920 16539 17880 22052 27565 33078 35760 44104 55130 66156 82695 88208 110260 132312 165390 220520 264624 330780 441040 661560 1323120