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900 = 223252
BaseRepresentation
bin1110000100
31020100
432010
512100
64100
72424
oct1604
91210
10900
11749
12630
13543
14484
15400
hex384

900 has 27 divisors (see below), whose sum is σ = 2821. Its totient is φ = 240.

The previous prime is 887. The next prime is 907. The reversal of 900 is 9.

900 = T29 + T30.

The square root of 900 is 30.

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

900 is nontrivially palindromic in base 14.

900 is an esthetic number in base 9 and base 13, because in such bases its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 324 + 576 = 18^2 + 24^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

900 is an undulating number in base 7 and base 14.

It is a nialpdrome in base 6, base 10, base 12, base 13 and base 15.

It is not an unprimeable number, because it can be changed into a prime (907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 178 + ... + 182.

900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

900 is the 30-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900

900 is an abundant number, since it is smaller than the sum of its proper divisors (1921).

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

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

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

The sum of its prime factors is 20 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The cubic root of 900 is about 9.6548938461.

The spelling of 900 in words is "nine hundred", and thus it is an aban number and an oban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900