Search a number
-
+
1323840 = 26357197
BaseRepresentation
bin101000011001101000000
32111020222010
411003031000
5314330330
644212520
714152410
oct5031500
92436863
101323840
11824691
1253a140
1337474b
14266640
151b23b0
hex143340

1323840 has 112 divisors (see below), whose sum is σ = 4828032. Its totient is φ = 301056.

The previous prime is 1323799. The next prime is 1323851. The reversal of 1323840 is 483231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

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, 6622 + ... + 6818.

21323840 is an apocalyptic number.

1323840 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 1323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414016).

1323840 is an abundant number, since it is smaller than the sum of its proper divisors (3504192).

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

1323840 is a wasteful number, since it uses less digits than its factorization.

1323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1323840 is about 1150.5824611909. The cubic root of 1323840 is about 109.8024000723.

The spelling of 1323840 in words is "one million, three hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 197 210 224 240 280 320 336 394 420 448 480 560 591 672 788 840 960 985 1120 1182 1344 1379 1576 1680 1970 2240 2364 2758 2955 3152 3360 3940 4137 4728 5516 5910 6304 6720 6895 7880 8274 9456 11032 11820 12608 13790 15760 16548 18912 20685 22064 23640 27580 31520 33096 37824 41370 44128 47280 55160 63040 66192 82740 88256 94560 110320 132384 165480 189120 220640 264768 330960 441280 661920 1323840