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1320200 = 235272341
BaseRepresentation
bin101000010010100001000
32111001222022
411002110020
5314221300
644144012
714135660
oct5022410
92431868
101320200
11821982
12538008
13372bab
142651a0
151b1285
hex142508

1320200 has 96 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 422400.

The previous prime is 1320199. The next prime is 1320211. The reversal of 1320200 is 20231.

It is a Cunningham number, because it is equal to 11492-1.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32180 + ... + 32220.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

21320200 is an apocalyptic number.

1320200 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 1320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

1320200 is an abundant number, since it is smaller than the sum of its proper divisors (2429560).

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

1320200 is a wasteful number, since it uses less digits than its factorization.

1320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1320200 is about 1148.9995648389. Note that the first 3 decimals coincide. The cubic root of 1320200 is about 109.7016709775.

Adding to 1320200 its reverse (20231), we get a palindrome (1340431).

The spelling of 1320200 in words is "one million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 41 46 50 56 70 82 92 100 115 140 161 164 175 184 200 205 230 280 287 322 328 350 410 460 574 575 644 700 805 820 920 943 1025 1148 1150 1288 1400 1435 1610 1640 1886 2050 2296 2300 2870 3220 3772 4025 4100 4600 4715 5740 6440 6601 7175 7544 8050 8200 9430 11480 13202 14350 16100 18860 23575 26404 28700 32200 33005 37720 47150 52808 57400 66010 94300 132020 165025 188600 264040 330050 660100 1320200