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3620 = 225181
BaseRepresentation
bin111000100100
311222002
4320210
5103440
624432
713361
oct7044
94862
103620
1127a1
122118
131856
141468
151115
hexe24

3620 has 12 divisors (see below), whose sum is σ = 7644. Its totient is φ = 1440.

The previous prime is 3617. The next prime is 3623. The reversal of 3620 is 263.

3620 = T26 + T27 + ... + T33.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3617) and next prime (3623).

It can be written as a sum of positive squares in 2 ways, for example, as 484 + 3136 = 22^2 + 56^2 .

It is a plaindrome in base 14 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71 + ... + 110.

It is an arithmetic number, because the mean of its divisors is an integer number (637).

23620 is an apocalyptic number.

It is an amenable number.

3620 is an abundant number, since it is smaller than the sum of its proper divisors (4024).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822).

3620 is a wasteful number, since it uses less digits than its factorization.

3620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3620 is about 60.1664358260. The cubic root of 3620 is about 15.3545180814.

Adding to 3620 its reverse (263), we get a palindrome (3883).

The spelling of 3620 in words is "three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620