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1243427200 = 27522913399
BaseRepresentation
bin100101000011101…
…0011000110000000
310012122201122110021
41022013103012000
510021304132300
6323214543224
742545646121
oct11207230600
93178648407
101243427200
11588978294
122a8507b14
1316a7bac52
14bb1d6048
1574267d1a
hex4a1d3180

1243427200 has 96 divisors (see below), whose sum is σ = 3177810000. Its totient is φ = 480184320.

The previous prime is 1243427197. The next prime is 1243427257. The reversal of 1243427200 is 27243421.

It is a happy number.

It is a super-2 number, since 2×12434272002 = 3092222403399680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 86101 + ... + 99499.

Almost surely, 21243427200 is an apocalyptic number.

1243427200 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 1243427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588905000).

1243427200 is an abundant number, since it is smaller than the sum of its proper divisors (1934382800).

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

1243427200 is a wasteful number, since it uses less digits than its factorization.

1243427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13452 (or 13435 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 1243427200 is about 35262.2631151207. The cubic root of 1243427200 is about 1075.3259368619.

The spelling of 1243427200 in words is "one billion, two hundred forty-three million, four hundred twenty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 128 145 160 200 232 290 320 400 464 580 640 725 800 928 1160 1450 1600 1856 2320 2900 3200 3712 4640 5800 9280 11600 13399 18560 23200 26798 46400 53596 66995 92800 107192 133990 214384 267980 334975 388571 428768 535960 669950 777142 857536 1071920 1339900 1554284 1715072 1942855 2143840 2679800 3108568 3885710 4287680 5359600 6217136 7771420 8575360 9714275 10719200 12434272 15542840 19428550 21438400 24868544 31085680 38857100 42876800 49737088 62171360 77714200 124342720 155428400 248685440 310856800 621713600 1243427200