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5336100 = 22325272112
BaseRepresentation
bin10100010110110000100100
3101001002202100
4110112300210
52331223400
6310212100
763233100
oct24266044
911032670
105336100
113015100
121954030
13114aa73
149cc900
15706100
hex516c24

5336100 has 243 divisors, whose sum is σ = 21386001. Its totient is φ = 1108800.

The previous prime is 5336057. The next prime is 5336101. The reversal of 5336100 is 16335.

The square root of 5336100 is 2310.

It is a perfect power (a square), and thus also a powerful number.

5336100 is a `hidden beast` number, since 53 + 3 + 610 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1920996 + 3415104 = 1386^2 + 1848^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5336101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 485095 + ... + 485105.

Almost surely, 25336100 is an apocalyptic number.

5336100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5336100 is the 2310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5336100

5336100 is an abundant number, since it is smaller than the sum of its proper divisors (16049901).

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

5336100 is a wasteful number, since it uses less digits than its factorization.

5336100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The cubic root of 5336100 is about 174.7462990491.

The spelling of 5336100 in words is "five million, three hundred thirty-six thousand, one hundred".