Search a number
-
+
43620 = 2235727
BaseRepresentation
bin1010101001100100
32012211120
422221210
52343440
6533540
7241113
oct125144
965746
1043620
112a855
12212b0
1316b15
1411c7a
15cdd0
hexaa64

43620 has 24 divisors (see below), whose sum is σ = 122304. Its totient is φ = 11616.

The previous prime is 43613. The next prime is 43627. The reversal of 43620 is 2634.

It is an interprime number because it is at equal distance from previous prime (43613) and next prime (43627).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 43620.

It is not an unprimeable number, because it can be changed into a prime (43627) by changing a digit.

43620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

243620 is an apocalyptic number.

It is an amenable number.

43620 is an abundant number, since it is smaller than the sum of its proper divisors (78684).

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 (61152).

43620 is a wasteful number, since it uses less digits than its factorization.

43620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 43620 is about 208.8540160016. The cubic root of 43620 is about 35.2015581266.

The spelling of 43620 in words is "forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 727 1454 2181 2908 3635 4362 7270 8724 10905 14540 21810 43620