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2640200 = 235243307
BaseRepresentation
bin1010000100100101001000
311222010200012
422010211020
51133441300
6132331052
731304243
oct12044510
94863605
102640200
111543692
12a73a88
13715964
144ca25a
15372435
hex284948

2640200 has 48 divisors (see below), whose sum is σ = 6301680. Its totient is φ = 1028160.

The previous prime is 2640181. The next prime is 2640217. The reversal of 2640200 is 20462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8447 + ... + 8753.

It is an arithmetic number, because the mean of its divisors is an integer number (131285).

22640200 is an apocalyptic number.

2640200 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 2640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150840).

2640200 is an abundant number, since it is smaller than the sum of its proper divisors (3661480).

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

2640200 is a wasteful number, since it uses less digits than its factorization.

2640200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2640200 is about 1624.8692255071. The cubic root of 2640200 is about 138.2119546248.

Adding to 2640200 its reverse (20462), we get a palindrome (2660662).

The spelling of 2640200 in words is "two million, six hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 307 344 430 614 860 1075 1228 1535 1720 2150 2456 3070 4300 6140 7675 8600 12280 13201 15350 26402 30700 52804 61400 66005 105608 132010 264020 330025 528040 660050 1320100 2640200