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13204900 = 2252132049
BaseRepresentation
bin110010010111…
…110110100100
3220211212201101
4302113312210
511340024100
61151005444
7220145152
oct62276644
926755641
1013204900
1174aa045
124509884
132974567
141a7a3d2
15125c86a
hexc97da4

13204900 has 18 divisors (see below), whose sum is σ = 28654850. Its totient is φ = 5281920.

The previous prime is 13204883. The next prime is 13204907. The reversal of 13204900 is 940231.

It can be written as a sum of positive squares in 3 ways, for example, as 1205604 + 11999296 = 1098^2 + 3464^2 .

It is not an unprimeable number, because it can be changed into a prime (13204907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65925 + ... + 66124.

Almost surely, 213204900 is an apocalyptic number.

13204900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13204900 is an abundant number, since it is smaller than the sum of its proper divisors (15449950).

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

13204900 is a wasteful number, since it uses less digits than its factorization.

13204900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132063 (or 132056 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 13204900 is about 3633.8547026539. The cubic root of 13204900 is about 236.3623897191.

The spelling of 13204900 in words is "thirteen million, two hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 132049 264098 528196 660245 1320490 2640980 3301225 6602450 13204900