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2051200 = 2752641
BaseRepresentation
bin111110100110010000000
310212012201101
413310302000
51011114300
6111544144
723302114
oct7646200
93765641
102051200
111181108
1282b054
1356a838
143b5744
152a7b6a
hex1f4c80

2051200 has 48 divisors (see below), whose sum is σ = 5075010. Its totient is φ = 819200.

The previous prime is 2051191. The next prime is 2051219. The reversal of 2051200 is 21502.

It can be written as a sum of positive squares in 3 ways, for example, as 1871424 + 179776 = 1368^2 + 424^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2880 + ... + 3520.

22051200 is an apocalyptic number.

2051200 is a gapful number since it is divisible by the number (20) 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 2051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537505).

2051200 is an abundant number, since it is smaller than the sum of its proper divisors (3023810).

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

2051200 is an equidigital number, since it uses as much as digits as its factorization.

2051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2051200 is about 1432.2011031975. The cubic root of 2051200 is about 127.0581914490.

2051200 divided by its sum of digits (10) gives a triangular number (205120 = T640).

Adding to 2051200 its reverse (21502), we get a palindrome (2072702).

The spelling of 2051200 in words is "two million, fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 641 800 1282 1600 2564 3200 3205 5128 6410 10256 12820 16025 20512 25640 32050 41024 51280 64100 82048 102560 128200 205120 256400 410240 512800 1025600 2051200