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2083120 = 245132003
BaseRepresentation
bin111111100100100110000
310220211111121
413330210300
51013124440
6112352024
723464144
oct7744460
93824447
102083120
1111a3096
12845614
1357c220
143c3224
152b234a
hex1fc930

2083120 has 40 divisors (see below), whose sum is σ = 5218416. Its totient is φ = 768768.

The previous prime is 2083117. The next prime is 2083121. The reversal of 2083120 is 213802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2083094 and 2083103.

It is not an unprimeable number, because it can be changed into a prime (2083121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39 + ... + 2041.

22083120 is an apocalyptic number.

2083120 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 2083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609208).

2083120 is an abundant number, since it is smaller than the sum of its proper divisors (3135296).

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

2083120 is a wasteful number, since it uses less digits than its factorization.

2083120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2083120 is about 1443.3017702476. The cubic root of 2083120 is about 127.7138791342.

Adding to 2083120 its reverse (213802), we get a palindrome (2296922).

The spelling of 2083120 in words is "two million, eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2003 4006 8012 10015 16024 20030 26039 32048 40060 52078 80120 104156 130195 160240 208312 260390 416624 520780 1041560 2083120