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2540984 = 231973229
BaseRepresentation
bin1001101100010110111000
311210002120112
421230112320
51122302414
6130243452
730412055
oct11542670
94702515
102540984
111486096
12a26588
136ac754
144a202c
15352d3e
hex26c5b8

2540984 has 32 divisors (see below), whose sum is σ = 5106000. Its totient is φ = 1181952.

The previous prime is 2540983. The next prime is 2541001. The reversal of 2540984 is 4890452.

2540984 = T19 + T20 + ... + T247.

2540984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2540984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540981) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10982 + ... + 11210.

22540984 is an apocalyptic number.

It is an amenable number.

2540984 is an abundant number, since it is smaller than the sum of its proper divisors (2565016).

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

2540984 is a wasteful number, since it uses less digits than its factorization.

2540984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 2540984 is about 1594.0464234143. The cubic root of 2540984 is about 136.4585158412.

The spelling of 2540984 in words is "two million, five hundred forty thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 19 38 73 76 146 152 229 292 458 584 916 1387 1832 2774 4351 5548 8702 11096 16717 17404 33434 34808 66868 133736 317623 635246 1270492 2540984