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4082540 = 2257112241
BaseRepresentation
bin1111100100101101101100
321200102012012
433210231230
52021120130
6223300352
746462310
oct17445554
97612165
104082540
112339300
12144a6b8
13acc307
14783b40
15559995
hex3e4b6c

4082540 has 72 divisors (see below), whose sum is σ = 10814496. Its totient is φ = 1267200.

The previous prime is 4082539. The next prime is 4082563. The reversal of 4082540 is 452804.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16820 + ... + 17060.

Almost surely, 24082540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4082540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407248).

4082540 is an abundant number, since it is smaller than the sum of its proper divisors (6731956).

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

4082540 is a wasteful number, since it uses less digits than its factorization.

4082540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 4082540 is about 2020.5296335367. The cubic root of 4082540 is about 159.8245472558.

The spelling of 4082540 in words is "four million, eighty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 241 242 308 385 482 484 605 770 847 964 1205 1210 1540 1687 1694 2410 2420 2651 3374 3388 4235 4820 5302 6748 8435 8470 10604 13255 16870 16940 18557 26510 29161 33740 37114 53020 58322 74228 92785 116644 145805 185570 204127 291610 371140 408254 583220 816508 1020635 2041270 4082540