Search a number
BaseRepresentation
bin111111100100100000000
310220211102211
413330210000
51013124242
6112351504
723464045
oct7744400
93824384
102083072
1111a3052
12845594
1357c1b4
143c31cc
152b2317
hex1fc900

2083072 has 36 divisors (see below), whose sum is σ = 4251520. Its totient is φ = 1018368.

The previous prime is 2083057. The next prime is 2083073. The reversal of 2083072 is 2703802.

It is a happy number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2083073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20173 + ... + 20275.

22083072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125760).

2083072 is an abundant number, since it is smaller than the sum of its proper divisors (2168448).

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

2083072 is an equidigital number, since it uses as much as digits as its factorization.

2083072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2083072 is about 1443.2851416127. The cubic root of 2083072 is about 127.7128981837.

Adding to 2083072 its reverse (2703802), we get a palindrome (4786874).

It can be divided in two parts, 208307 and 2, that multiplied together give a palindrome (416614).

The spelling of 2083072 in words is "two million, eighty-three thousand, seventy-two".