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1081200 = 243521753
BaseRepresentation
bin100000111111101110000
32000221010110
410013331300
5234044300
635101320
712122121
oct4077560
92027113
101081200
1167935a
12441840
132bb183
14202048
15165550
hex107f70

1081200 has 120 divisors (see below), whose sum is σ = 3736368. Its totient is φ = 266240.

The previous prime is 1081163. The next prime is 1081219. The reversal of 1081200 is 21801.

1081200 = T235 + T236 + ... + T268.

It is a happy number.

1081200 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20374 + ... + 20426.

21081200 is an apocalyptic number.

1081200 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 1081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868184).

1081200 is an abundant number, since it is smaller than the sum of its proper divisors (2655168).

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

1081200 is a wasteful number, since it uses less digits than its factorization.

1081200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1081200 is about 1039.8076745245. The cubic root of 1081200 is about 102.6365422009.

1081200 divided by its sum of digits (12) gives a triangular number (90100 = T424).

It can be divided in two parts, 108 and 1200, that multiplied together give a square (129600 = 3602).

The spelling of 1081200 in words is "one million, eighty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 53 60 68 75 80 85 100 102 106 120 136 150 159 170 200 204 212 240 255 265 272 300 318 340 400 408 424 425 510 530 600 636 680 795 816 848 850 901 1020 1060 1200 1272 1275 1325 1360 1590 1700 1802 2040 2120 2544 2550 2650 2703 3180 3400 3604 3975 4080 4240 4505 5100 5300 5406 6360 6800 7208 7950 9010 10200 10600 10812 12720 13515 14416 15900 18020 20400 21200 21624 22525 27030 31800 36040 43248 45050 54060 63600 67575 72080 90100 108120 135150 180200 216240 270300 360400 540600 1081200