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2608420 = 225413181
BaseRepresentation
bin1001111100110100100100
311220112002011
421330310210
51131432140
6131524004
731112503
oct11746444
94815064
102608420
111521821
12a59604
13704359
144bc83a
15367cea
hex27cd24

2608420 has 24 divisors (see below), whose sum is σ = 5613048. Its totient is φ = 1017600.

The previous prime is 2608409. The next prime is 2608439. The reversal of 2608420 is 248062.

2608420 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 4 ways, for example, as 118336 + 2490084 = 344^2 + 1578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2608391 and 2608400.

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 7 ways as a sum of consecutive naturals, for example, 771 + ... + 2410.

It is an arithmetic number, because the mean of its divisors is an integer number (233877).

22608420 is an apocalyptic number.

2608420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2608420 is an abundant number, since it is smaller than the sum of its proper divisors (3004628).

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

2608420 is a wasteful number, since it uses less digits than its factorization.

2608420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2608420 is about 1615.0603703887. The cubic root of 2608420 is about 137.6551636806.

The spelling of 2608420 in words is "two million, six hundred eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 3181 6362 12724 15905 31810 63620 130421 260842 521684 652105 1304210 2608420