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2606420 = 225194
BaseRepresentation
bin1001111100010101010100
311220102100002
421330111110
51131401140
6131510432
731103615
oct11742524
94812302
102606420
111520273
12a58418
1370347b
144bbc0c
15367415
hex27c554

2606420 has 30 divisors (see below), whose sum is σ = 5777562. Its totient is φ = 987696.

The previous prime is 2606407. The next prime is 2606431. The reversal of 2606420 is 246062.

2606420 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 only one way, i.e., 2085136 + 521284 = 1444^2 + 722^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2606392 and 2606401.

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 9 ways as a sum of consecutive naturals, for example, 137171 + ... + 137189.

22606420 is an apocalyptic number.

2606420 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 2606420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888781).

2606420 is an abundant number, since it is smaller than the sum of its proper divisors (3171142).

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

2606420 is an frugal number, since it uses more digits than its factorization.

2606420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2606420 is about 1614.4410797548. The cubic root of 2606420 is about 137.6199724254.

Multiplying 2606420 by its sum of digits (20), we get a square (52128400 = 72202).

2606420 divided by its sum of digits (20) gives a 4-th power (130321 = 194).

The spelling of 2606420 in words is "two million, six hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 6859 7220 13718 27436 34295 68590 130321 137180 260642 521284 651605 1303210 2606420