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2540520 = 233257057
BaseRepresentation
bin1001101100001111101000
311210001221100
421230033220
51122244040
6130241400
730410523
oct11541750
94701840
102540520
111485804
12a26260
136ac488
144a1bba
15352b30
hex26c3e8

2540520 has 48 divisors (see below), whose sum is σ = 8257860. Its totient is φ = 677376.

The previous prime is 2540519. The next prime is 2540533. The reversal of 2540520 is 250452.

2540520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2304324 + 236196 = 1518^2 + 486^2 .

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2540493 and 2540502.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3169 + ... + 3888.

22540520 is an apocalyptic number.

2540520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540520 is an abundant number, since it is smaller than the sum of its proper divisors (5717340).

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

2540520 is a wasteful number, since it uses less digits than its factorization.

2540520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2540520 is about 1593.9008752115. The cubic root of 2540520 is about 136.4502092684.

Adding to 2540520 its reverse (250452), we get a palindrome (2790972).

It can be divided in two parts, 25405 and 20, that added together give a triangular number (25425 = T225).

The spelling of 2540520 in words is "two million, five hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 7057 14114 21171 28228 35285 42342 56456 63513 70570 84684 105855 127026 141140 169368 211710 254052 282280 317565 423420 508104 635130 846840 1270260 2540520