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20335120 = 2451319553
BaseRepresentation
bin100110110010…
…0101000010000
31102021010112121
41031210220100
520201210440
62003504024
7334563031
oct115445020
942233477
1020335120
111052a093
126988014
13429cb20
1429b4a88
151bba34a
hex1364a10

20335120 has 40 divisors (see below), whose sum is σ = 50918616. Its totient is φ = 7507968.

The previous prime is 20335109. The next prime is 20335121. The reversal of 20335120 is 2153302.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 18352656 = 1408^2 + 4284^2 .

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

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 = 20335094 and 20335103.

It is not an unprimeable number, because it can be changed into a prime (20335121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8737 + ... + 10816.

Almost surely, 220335120 is an apocalyptic number.

20335120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20335120 is an abundant number, since it is smaller than the sum of its proper divisors (30583496).

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

20335120 is a wasteful number, since it uses less digits than its factorization.

20335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19579 (or 19573 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 20335120 is about 4509.4478597717. The cubic root of 20335120 is about 272.9494644525.

Adding to 20335120 its reverse (2153302), we get a palindrome (22488422).

The spelling of 20335120 in words is "twenty million, three hundred thirty-five 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 19553 39106 78212 97765 156424 195530 254189 312848 391060 508378 782120 1016756 1270945 1564240 2033512 2541890 4067024 5083780 10167560 20335120