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3820005 = 325767181
BaseRepresentation
bin1110100100100111100101
321012002001200
432210213211
51434220010
6213513113
744320020
oct16444745
97162050
103820005
11217a032
121342799
13a39977
147161b7
15506cc0
hex3a49e5

3820005 has 48 divisors (see below), whose sum is σ = 7722624. Its totient is φ = 1710720.

The previous prime is 3819997. The next prime is 3820009. The reversal of 3820005 is 5000283.

It is not a de Polignac number, because 3820005 - 23 = 3819997 is a prime.

3820005 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3820005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21015 + ... + 21195.

It is an arithmetic number, because the mean of its divisors is an integer number (160888).

Almost surely, 23820005 is an apocalyptic number.

3820005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3820005 is an abundant number, since it is smaller than the sum of its proper divisors (3902619).

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

3820005 is a wasteful number, since it uses less digits than its factorization.

3820005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3820005 is about 1954.4833076801. The cubic root of 3820005 is about 156.3224346821.

Adding to 3820005 its reverse (5000283), we get a palindrome (8820288).

The spelling of 3820005 in words is "three million, eight hundred twenty thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 63 67 105 181 201 315 335 469 543 603 905 1005 1267 1407 1629 2345 2715 3015 3801 4221 6335 7035 8145 11403 12127 19005 21105 36381 57015 60635 84889 109143 181905 254667 424445 545715 764001 1273335 3820005