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1312200 = 233852
BaseRepresentation
bin101000000010111001000
32110200000000
411000113020
5313442300
644043000
714103441
oct5002710
92420000
101312200
1181696a
12533460
1336c366
142622c8
151adc00
hex1405c8

1312200 has 108 divisors (see below), whose sum is σ = 4576065. Its totient is φ = 349920.

The previous prime is 1312189. The next prime is 1312211. The reversal of 1312200 is 22131.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1312189) and next prime (1312211).

It can be written as a sum of positive squares in 2 ways, for example, as 1285956 + 26244 = 1134^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=810.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 26 ways as a sum of consecutive naturals, for example, 262438 + ... + 262442.

21312200 is an apocalyptic number.

1312200 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 1312200

1312200 is an abundant number, since it is smaller than the sum of its proper divisors (3263865).

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

1312200 is an frugal number, since it uses more digits than its factorization.

1312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1312200 is about 1145.5129855222. The cubic root of 1312200 is about 109.4796359203.

Adding to 1312200 its reverse (22131), we get a palindrome (1334331).

The spelling of 1312200 in words is "one million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 729 810 900 972 1080 1215 1350 1458 1620 1800 1944 2025 2187 2430 2700 2916 3240 3645 4050 4374 4860 5400 5832 6075 6561 7290 8100 8748 9720 10935 12150 13122 14580 16200 17496 18225 21870 24300 26244 29160 32805 36450 43740 48600 52488 54675 65610 72900 87480 109350 131220 145800 164025 218700 262440 328050 437400 656100 1312200