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13036900 = 2252130369
BaseRepresentation
bin110001101110…
…110101100100
3220112100021011
4301232311210
511314140100
61143232004
7215545312
oct61566544
926470234
1013036900
1173a48a8
124448604
132915c56
141a350b2
151227bba
hexc6ed64

13036900 has 18 divisors (see below), whose sum is σ = 28290290. Its totient is φ = 5214720.

The previous prime is 13036873. The next prime is 13036901. The reversal of 13036900 is 963031.

It can be written as a sum of positive squares in 3 ways, for example, as 191844 + 12845056 = 438^2 + 3584^2 .

It is a super-2 number, since 2×130369002 = 339921523220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13036901) 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, 65085 + ... + 65284.

Almost surely, 213036900 is an apocalyptic number.

13036900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13036900 is an abundant number, since it is smaller than the sum of its proper divisors (15253390).

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

13036900 is a wasteful number, since it uses less digits than its factorization.

13036900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130383 (or 130376 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 13036900 is about 3610.6647587390. The cubic root of 13036900 is about 235.3557310461.

Adding to 13036900 its reverse (963031), we get a palindrome (13999931).

The spelling of 13036900 in words is "thirteen million, thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 130369 260738 521476 651845 1303690 2607380 3259225 6518450 13036900