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1142020200 = 233526013167
BaseRepresentation
bin100010000010001…
…1101100001101000
32221120220122012110
41010010131201220
54314324121300
6305153242320
740205003646
oct10404354150
92846818173
101142020200
11536705752
1227a5633a0
131527a3bc9
14ab95a196
156a3d6550
hex4411d868

1142020200 has 96 divisors (see below), whose sum is σ = 3547272960. Its totient is φ = 303936000.

The previous prime is 1142020199. The next prime is 1142020211. The reversal of 1142020200 is 20202411.

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

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, 359017 + ... + 362183.

It is an arithmetic number, because the mean of its divisors is an integer number (36950760).

Almost surely, 21142020200 is an apocalyptic number.

1142020200 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 1142020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773636480).

1142020200 is an abundant number, since it is smaller than the sum of its proper divisors (2405252760).

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

1142020200 is a wasteful number, since it uses less digits than its factorization.

1142020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1142020200 is about 33793.7893702378. The cubic root of 1142020200 is about 1045.2606356749.

Adding to 1142020200 its reverse (20202411), we get a palindrome (1162222611).

The spelling of 1142020200 in words is "one billion, one hundred forty-two million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 601 1202 1803 2404 3005 3167 3606 4808 6010 6334 7212 9015 9501 12020 12668 14424 15025 15835 18030 19002 24040 25336 30050 31670 36060 38004 45075 47505 60100 63340 72120 76008 79175 90150 95010 120200 126680 158350 180300 190020 237525 316700 360600 380040 475050 633400 950100 1900200 1903367 3806734 5710101 7613468 9516835 11420202 15226936 19033670 22840404 28550505 38067340 45680808 47584175 57101010 76134680 95168350 114202020 142752525 190336700 228404040 285505050 380673400 571010100 1142020200