Search a number
-
+
36421605 = 3251126689
BaseRepresentation
bin1000101011101…
…1111111100101
32112112102001100
42022323333211
533310442410
63340350313
7621402303
oct212737745
975472040
1036421605
1119617100
1210245399
137712b5c
144ba1273
1532e68c0
hex22bbfe5

36421605 has 36 divisors (see below), whose sum is σ = 69402060. Its totient is φ = 17656320.

The previous prime is 36421601. The next prime is 36421639. The reversal of 36421605 is 50612463.

36421605 is a `hidden beast` number, since 3 + 642 + 16 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22268961 + 14152644 = 4719^2 + 3762^2 .

It is not a de Polignac number, because 36421605 - 22 = 36421601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36421601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2101 + ... + 8789.

It is an arithmetic number, because the mean of its divisors is an integer number (1927835).

Almost surely, 236421605 is an apocalyptic number.

It is an amenable number.

36421605 is a deficient number, since it is larger than the sum of its proper divisors (32980455).

36421605 is a wasteful number, since it uses less digits than its factorization.

36421605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36421605 is about 6035.0314829336. The cubic root of 36421605 is about 331.4767153305.

The spelling of 36421605 in words is "thirty-six million, four hundred twenty-one thousand, six hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 6689 20067 33445 60201 73579 100335 220737 301005 367895 662211 809369 1103685 2428107 3311055 4046845 7284321 12140535 36421605