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900133 = 13174073
BaseRepresentation
bin11011011110000100101
31200201202021
43123300211
5212301013
631143141
710436203
oct3336045
91621667
10900133
11565313
12374ab1
13256930
14196073
1512ba8d
hexdbc25

900133 has 8 divisors (see below), whose sum is σ = 1026648. Its totient is φ = 781824.

The previous prime is 900121. The next prime is 900139. The reversal of 900133 is 331009.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12769 + 887364 = 113^2 + 942^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-900133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1816 + ... + 2257.

It is an arithmetic number, because the mean of its divisors is an integer number (128331).

2900133 is an apocalyptic number.

It is an amenable number.

900133 is a deficient number, since it is larger than the sum of its proper divisors (126515).

900133 is a wasteful number, since it uses less digits than its factorization.

900133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 900133 is about 948.7533926158. The cubic root of 900133 is about 96.5536941555.

The spelling of 900133 in words is "nine hundred thousand, one hundred thirty-three".

Divisors: 1 13 17 221 4073 52949 69241 900133