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2640690 = 2325133761
BaseRepresentation
bin1010000100101100110010
311222011100100
422010230302
51134000230
6132333230
731305543
oct12045462
94864310
102640690
111543a98
12a74216
13715c50
144ca4ca
15372660
hex284b32

2640690 has 96 divisors (see below), whose sum is σ = 7718256. Its totient is φ = 622080.

The previous prime is 2640689. The next prime is 2640707. The reversal of 2640690 is 960462.

It can be written as a sum of positive squares in 8 ways, for example, as 488601 + 2152089 = 699^2 + 1467^2 .

It is a super-2 number, since 2×26406902 = 13946487352200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43260 + ... + 43320.

22640690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2640690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859128).

2640690 is an abundant number, since it is smaller than the sum of its proper divisors (5077566).

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

2640690 is a wasteful number, since it uses less digits than its factorization.

2640690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2640690 is about 1625.0199998769. The cubic root of 2640690 is about 138.2205044403.

The spelling of 2640690 in words is "two million, six hundred forty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 37 39 45 61 65 74 78 90 111 117 122 130 183 185 195 222 234 305 333 366 370 390 481 549 555 585 610 666 793 915 962 1098 1110 1170 1443 1586 1665 1830 2257 2379 2405 2745 2886 3330 3965 4329 4514 4758 4810 5490 6771 7137 7215 7930 8658 11285 11895 13542 14274 14430 20313 21645 22570 23790 29341 33855 35685 40626 43290 58682 67710 71370 88023 101565 146705 176046 203130 264069 293410 440115 528138 880230 1320345 2640690