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13202500 = 22545281
BaseRepresentation
bin110010010111…
…010001000100
3220211202102111
4302113101010
511334440000
61150550404
7220135153
oct62272104
926752374
1013202500
1174a8263
124508404
13297343c
141a7959a
15125bcba
hexc97444

13202500 has 30 divisors (see below), whose sum is σ = 28876694. Its totient is φ = 5280000.

The previous prime is 13202471. The next prime is 13202509. The reversal of 13202500 is 520231.

It can be written as a sum of positive squares in 5 ways, for example, as 7884864 + 5317636 = 2808^2 + 2306^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (13202509) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 141 + ... + 5140.

Almost surely, 213202500 is an apocalyptic number.

13202500 is a gapful number since it is divisible by the number (10) 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 13202500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14438347).

13202500 is an abundant number, since it is smaller than the sum of its proper divisors (15674194).

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

13202500 is an equidigital number, since it uses as much as digits as its factorization.

13202500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 13202500 is about 3633.5244598048. The cubic root of 13202500 is about 236.3480691738.

Adding to 13202500 its reverse (520231), we get a palindrome (13722731).

The spelling of 13202500 in words is "thirteen million, two hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 5281 10562 21124 26405 52810 105620 132025 264050 528100 660125 1320250 2640500 3300625 6601250 13202500