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2661620 = 2251329353
BaseRepresentation
bin1010001001110011110100
312000020001112
422021303310
51140132440
6133014152
731423553
oct12116364
95006045
102661620
111558795
12a84358
13722630
144d3d9a
15378965
hex289cf4

2661620 has 48 divisors (see below), whose sum is σ = 6244560. Its totient is φ = 946176.

The previous prime is 2661611. The next prime is 2661641. The reversal of 2661620 is 261662.

2661620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 234256 + 2427364 = 484^2 + 1558^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7364 + ... + 7716.

It is an arithmetic number, because the mean of its divisors is an integer number (130095).

22661620 is an apocalyptic number.

2661620 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 2661620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122280).

2661620 is an abundant number, since it is smaller than the sum of its proper divisors (3582940).

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

2661620 is a wasteful number, since it uses less digits than its factorization.

2661620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2661620 is about 1631.4472103013. The cubic root of 2661620 is about 138.5847205465.

The spelling of 2661620 in words is "two million, six hundred sixty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 353 377 580 706 754 1412 1508 1765 1885 3530 3770 4589 7060 7540 9178 10237 18356 20474 22945 40948 45890 51185 91780 102370 133081 204740 266162 532324 665405 1330810 2661620