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2660040 = 23345821
BaseRepresentation
bin1010001001011011001000
312000010220000
422021123020
51140110130
6133003000
731416135
oct12113310
95003800
102660040
111557589
12a83460
137219b6
144d358c
15378260
hex2896c8

2660040 has 80 divisors (see below), whose sum is σ = 8951580. Its totient is φ = 708480.

The previous prime is 2660029. The next prime is 2660069. The reversal of 2660040 is 400662.

2660040 is a `hidden beast` number, since 2 + 660 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2566404 + 93636 = 1602^2 + 306^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2659995 and 2660022.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2830 + ... + 3650.

22660040 is an apocalyptic number.

2660040 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 2660040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475790).

2660040 is an abundant number, since it is smaller than the sum of its proper divisors (6291540).

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

2660040 is a wasteful number, since it uses less digits than its factorization.

2660040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2660040 is about 1630.9629057707. The cubic root of 2660040 is about 138.5572927394.

The spelling of 2660040 in words is "two million, six hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 821 1080 1620 1642 2463 3240 3284 4105 4926 6568 7389 8210 9852 12315 14778 16420 19704 22167 24630 29556 32840 36945 44334 49260 59112 66501 73890 88668 98520 110835 133002 147780 177336 221670 266004 295560 332505 443340 532008 665010 886680 1330020 2660040