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2680470 = 2325132979
BaseRepresentation
bin1010001110011010010110
312001011220200
422032122112
51141233340
6133241330
731532532
oct12163226
95034820
102680470
111570971
12a93246
1372b0a0
144dabc2
1537e330
hex28e696

2680470 has 96 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 628992.

The previous prime is 2680451. The next prime is 2680471. The reversal of 2680470 is 740862.

2680470 = T220 + T221 + ... + T298.

2680470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680471) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33891 + ... + 33969.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

22680470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2680470 is an abundant number, since it is smaller than the sum of its proper divisors (5181930).

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

2680470 is a wasteful number, since it uses less digits than its factorization.

2680470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2680470 is about 1637.2140971785. The cubic root of 2680470 is about 138.9111106370.

The spelling of 2680470 in words is "two million, six hundred eighty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 79 87 90 117 130 145 158 174 195 234 237 261 290 377 390 395 435 474 522 585 711 754 790 870 1027 1131 1170 1185 1305 1422 1885 2054 2262 2291 2370 2610 3081 3393 3555 3770 4582 5135 5655 6162 6786 6873 7110 9243 10270 11310 11455 13746 15405 16965 18486 20619 22910 29783 30810 33930 34365 41238 46215 59566 68730 89349 92430 103095 148915 178698 206190 268047 297830 446745 536094 893490 1340235 2680470