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1042200 = 233352193
BaseRepresentation
bin11111110011100011000
31221221122000
43332130120
5231322300
634201000
711600325
oct3763430
91857560
101042200
11652025
12423160
132a64b3
141d1b4c
15158c00
hexfe718

1042200 has 96 divisors (see below), whose sum is σ = 3608400. Its totient is φ = 276480.

The previous prime is 1042193. The next prime is 1042211. The reversal of 1042200 is 22401.

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

It is a zygodrome in base 2.

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, 5304 + ... + 5496.

21042200 is an apocalyptic number.

1042200 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 1042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804200).

1042200 is an abundant number, since it is smaller than the sum of its proper divisors (2566200).

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

1042200 is a wasteful number, since it uses less digits than its factorization.

1042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1042200 is about 1020.8819716304. The cubic root of 1042200 is about 101.3873307935.

Adding to 1042200 its reverse (22401), we get a palindrome (1064601).

It can be divided in two parts, 104 and 2200, that added together give a square (2304 = 482).

The spelling of 1042200 in words is "one million, forty-two 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 90 100 108 120 135 150 180 193 200 216 225 270 300 360 386 450 540 579 600 675 772 900 965 1080 1158 1350 1544 1737 1800 1930 2316 2700 2895 3474 3860 4632 4825 5211 5400 5790 6948 7720 8685 9650 10422 11580 13896 14475 17370 19300 20844 23160 26055 28950 34740 38600 41688 43425 52110 57900 69480 86850 104220 115800 130275 173700 208440 260550 347400 521100 1042200