Search a number
-
+
2006620 = 2257111303
BaseRepresentation
bin111101001111001011100
310202221120021
413221321130
51003202440
6111001524
723025130
oct7517134
93687507
102006620
111150670
128092a4
13553465
143a33c0
1529984a
hex1e9e5c

2006620 has 48 divisors (see below), whose sum is σ = 5257728. Its totient is φ = 624960.

The previous prime is 2006611. The next prime is 2006623. The reversal of 2006620 is 266002.

It is a junction number, because it is equal to n+sod(n) for n = 2006594 and 2006603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889 + ... + 2191.

It is an arithmetic number, because the mean of its divisors is an integer number (109536).

22006620 is an apocalyptic number.

2006620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628864).

2006620 is an abundant number, since it is smaller than the sum of its proper divisors (3251108).

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

2006620 is a wasteful number, since it uses less digits than its factorization.

2006620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2006620 is about 1416.5521522344. The cubic root of 2006620 is about 126.1309631843.

The spelling of 2006620 in words is "two million, six thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1303 1540 2606 5212 6515 9121 13030 14333 18242 26060 28666 36484 45605 57332 71665 91210 100331 143330 182420 200662 286660 401324 501655 1003310 2006620