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1368900 = 223452132
BaseRepresentation
bin101001110001101000100
32120112210000
411032031010
5322301100
645201300
714430651
oct5161504
92515700
101368900
11855525
12560230
1338c100
14278c28
151c0900
hex14e344

1368900 has 135 divisors (see below), whose sum is σ = 4805031. Its totient is φ = 336960.

The previous prime is 1368869. The next prime is 1368907. The reversal of 1368900 is 98631.

The square root of 1368900 is 1170.

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

It can be written as a sum of positive squares in 4 ways, for example, as 352836 + 1016064 = 594^2 + 1008^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1368907) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 105294 + ... + 105306.

21368900 is an apocalyptic number.

1368900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1368900 is the 1170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1368900

1368900 is an abundant number, since it is smaller than the sum of its proper divisors (3436131).

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

1368900 is a wasteful number, since it uses less digits than its factorization.

1368900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 1368900 is about 111.0343210158.

Multiplying 1368900 by its product of nonzero digits (1296), we get a square (1774094400 = 421202).

The spelling of 1368900 in words is "one million, three hundred sixty-eight thousand, nine hundred".