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13202020 = 2251350777
BaseRepresentation
bin110010010111…
…001001100100
3220211201202201
4302113021210
511334431040
61150544244
7220133566
oct62271144
926751681
1013202020
1174a7967
124508084
132973160
141a79336
15125ba9a
hexc97264

13202020 has 24 divisors (see below), whose sum is σ = 29857464. Its totient is φ = 4874496.

The previous prime is 13202011. The next prime is 13202029. The reversal of 13202020 is 2020231.

It is an interprime number because it is at equal distance from previous prime (13202011) and next prime (13202029).

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 11874916 = 1152^2 + 3446^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

13202020 is a modest number, since divided by 2020 gives 1320 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 13201988 and 13202006.

It is not an unprimeable number, because it can be changed into a prime (13202029) 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, 25129 + ... + 25648.

It is an arithmetic number, because the mean of its divisors is an integer number (1244061).

Almost surely, 213202020 is an apocalyptic number.

13202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13202020 is an abundant number, since it is smaller than the sum of its proper divisors (16655444).

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

13202020 is a wasteful number, since it uses less digits than its factorization.

13202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50799 (or 50797 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13202020 is about 3633.4584076331. The cubic root of 13202020 is about 236.3452048565.

Adding to 13202020 its reverse (2020231), we get a palindrome (15222251).

The spelling of 13202020 in words is "thirteen million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 50777 101554 203108 253885 507770 660101 1015540 1320202 2640404 3300505 6601010 13202020