Search a number
-
+
3641085 = 33573853
BaseRepresentation
bin1101111000111011111101
320211222122000
431320323331
51413003320
6210012513
742643260
oct15707375
96758560
103641085
112067668
121277139
139a63b6
146aacd7
154bdc90
hex378efd

3641085 has 32 divisors (see below), whose sum is σ = 7399680. Its totient is φ = 1664064.

The previous prime is 3641083. The next prime is 3641119. The reversal of 3641085 is 5801463.

It is not a de Polignac number, because 3641085 - 21 = 3641083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3641081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982 + ... + 2871.

It is an arithmetic number, because the mean of its divisors is an integer number (231240).

Almost surely, 23641085 is an apocalyptic number.

3641085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3641085 is an abundant number, since it is smaller than the sum of its proper divisors (3758595).

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

3641085 is a wasteful number, since it uses less digits than its factorization.

3641085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3641085 is about 1908.1627289097. The cubic root of 3641085 is about 153.8427162373.

The spelling of 3641085 in words is "three million, six hundred forty-one thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 3853 11559 19265 26971 34677 57795 80913 104031 134855 173385 242739 404565 520155 728217 1213695 3641085