Search a number
-
+
42620 = 2252131
BaseRepresentation
bin1010011001111100
32011110112
422121330
52330440
6525152
7235154
oct123174
964415
1042620
112a026
12207b8
1316526
1411764
15c965
hexa67c

42620 has 12 divisors (see below), whose sum is σ = 89544. Its totient is φ = 17040.

The previous prime is 42611. The next prime is 42641. The reversal of 42620 is 2624.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 42595 and 42604.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42620.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1046 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (7462).

242620 is an apocalyptic number.

It is an amenable number.

42620 is an abundant number, since it is smaller than the sum of its proper divisors (46924).

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 (44772).

42620 is a wasteful number, since it uses less digits than its factorization.

42620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 42620 is about 206.4461188785. The cubic root of 42620 is about 34.9304742268.

Subtracting from 42620 its product of nonzero digits (96), we obtain a palindrome (42524).

The spelling of 42620 in words is "forty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 2131 4262 8524 10655 21310 42620