Search a number
-
+
2083806 = 23419677
BaseRepresentation
bin111111100101111011110
310220212110000
413330233132
51013140211
6112355130
723466144
oct7745736
93825400
102083806
1111a365a
12845aa6
1357c62a
143c3594
152b2656
hex1fcbde

2083806 has 40 divisors (see below), whose sum is σ = 4922280. Its totient is φ = 657072.

The previous prime is 2083799. The next prime is 2083813. The reversal of 2083806 is 6083802.

It is an interprime number because it is at equal distance from previous prime (2083799) and next prime (2083813).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2083806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2740 + ... + 3416.

It is an arithmetic number, because the mean of its divisors is an integer number (123057).

22083806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461140).

2083806 is an abundant number, since it is smaller than the sum of its proper divisors (2838474).

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

2083806 is a wasteful number, since it uses less digits than its factorization.

2083806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2083806 is about 1443.5394002243. The cubic root of 2083806 is about 127.7278969065.

The spelling of 2083806 in words is "two million, eighty-three thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 677 1026 1354 1539 2031 3078 4062 6093 12186 12863 18279 25726 36558 38589 54837 77178 109674 115767 231534 347301 694602 1041903 2083806