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1996200 = 2332521109
BaseRepresentation
bin111100111010110101000
310202102021100
413213112220
51002334300
6110441400
722652553
oct7472650
93672240
101996200
111143858
12803260
1354b7ab
1439d69a
15296700
hex1e75a8

1996200 has 72 divisors (see below), whose sum is σ = 6709950. Its totient is φ = 531840.

The previous prime is 1996177. The next prime is 1996207. The reversal of 1996200 is 26991.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 842724 + 1153476 = 918^2 + 1074^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1996207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1246 + ... + 2354.

21996200 is an apocalyptic number.

1996200 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 1996200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354975).

1996200 is an abundant number, since it is smaller than the sum of its proper divisors (4713750).

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

1996200 is a wasteful number, since it uses less digits than its factorization.

1996200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1996200 is about 1412.8694207180. The cubic root of 1996200 is about 125.9122593994.

The spelling of 1996200 in words is "one million, nine hundred ninety-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1109 1800 2218 3327 4436 5545 6654 8872 9981 11090 13308 16635 19962 22180 26616 27725 33270 39924 44360 49905 55450 66540 79848 83175 99810 110900 133080 166350 199620 221800 249525 332700 399240 499050 665400 998100 1996200