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2687540 = 225831619
BaseRepresentation
bin1010010000001000110100
312001112121112
422100020310
51142000130
6133334152
731562252
oct12201064
95045545
102687540
111576209
12a97358
1373137b
144dd5d2
15381495
hex290234

2687540 has 24 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 1061408.

The previous prime is 2687537. The next prime is 2687549. The reversal of 2687540 is 457862.

It is a d-powerful number, because it can be written as 219 + 63 + 87 + 73 + 5 + 48 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2687497 and 2687506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 851 + ... + 2469.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

22687540 is an apocalyptic number.

2687540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2687540 is an abundant number, since it is smaller than the sum of its proper divisors (3027820).

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

2687540 is a wasteful number, since it uses less digits than its factorization.

2687540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2687540 is about 1639.3718309157. The cubic root of 2687540 is about 139.0331339330.

The spelling of 2687540 in words is "two million, six hundred eighty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 83 166 332 415 830 1619 1660 3238 6476 8095 16190 32380 134377 268754 537508 671885 1343770 2687540