Search a number
-
+
3985605 = 34513757
BaseRepresentation
bin1111001101000011000101
321111111020000
433031003011
52010014410
6221231513
745606561
oct17150305
97444200
103985605
112282498
121402599
13a97160
1475a6a1
1553adc0
hex3cd0c5

3985605 has 40 divisors (see below), whose sum is σ = 7704312. Its totient is φ = 1959552.

The previous prime is 3985591. The next prime is 3985609. The reversal of 3985605 is 5065893.

3985605 is a `hidden beast` number, since 3 + 98 + 560 + 5 = 666.

3985605 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 4 ways, for example, as 136161 + 3849444 = 369^2 + 1962^2 .

It is not a de Polignac number, because 3985605 - 24 = 3985589 is a prime.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 3985605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3985609) 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 39 ways as a sum of consecutive naturals, for example, 4887 + ... + 5643.

Almost surely, 23985605 is an apocalyptic number.

It is an amenable number.

3985605 is a deficient number, since it is larger than the sum of its proper divisors (3718707).

3985605 is a wasteful number, since it uses less digits than its factorization.

3985605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3985605 is about 1996.3980064105. The cubic root of 3985605 is about 158.5494543275.

The spelling of 3985605 in words is "three million, nine hundred eighty-five thousand, six hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 757 1053 1755 2271 3785 5265 6813 9841 11355 20439 29523 34065 49205 61317 88569 102195 147615 265707 306585 442845 797121 1328535 3985605