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2540835 = 335112959
BaseRepresentation
bin1001101100010100100011
311210002101000
421230110203
51122301320
6130243043
730411453
oct11542443
94702330
102540835
111485a70
12a26483
136ac66b
144a1d63
15352c90
hex26c523

2540835 has 64 divisors (see below), whose sum is σ = 5184000. Its totient is φ = 1169280.

The previous prime is 2540831. The next prime is 2540849. The reversal of 2540835 is 5380452.

It is a Cunningham number, because it is equal to 15942-1.

It is not a de Polignac number, because 2540835 - 22 = 2540831 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2540799 and 2540808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43036 + ... + 43094.

It is an arithmetic number, because the mean of its divisors is an integer number (81000).

22540835 is an apocalyptic number.

2540835 is an abundant number, since it is smaller than the sum of its proper divisors (2643165).

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

2540835 is a wasteful number, since it uses less digits than its factorization.

2540835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2540835 is about 1593.9996863237. Note that the first 3 decimals coincide. The cubic root of 2540835 is about 136.4558485391.

It can be divided in two parts, 2540 and 835, that added together give a cube (3375 = 153).

The spelling of 2540835 in words is "two million, five hundred forty thousand, eight hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 59 87 99 135 145 165 177 261 295 297 319 435 495 531 649 783 885 957 1305 1485 1593 1595 1711 1947 2655 2871 3245 3915 4785 5133 5841 7965 8555 8613 9735 14355 15399 17523 18821 25665 29205 43065 46197 56463 76995 87615 94105 169389 230985 282315 508167 846945 2540835