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900398161 = 1371939629
BaseRepresentation
bin110101101010101…
…111110001010001
32022202020222002001
4311222233301101
53321000220121
6225202354001
731212154345
oct6552576121
92282228061
10900398161
11422284513
1221165b901
131147059a0
1487821625
15540a9991
hex35aafc51

900398161 has 8 divisors (see below), whose sum is σ = 969895080. Its totient is φ = 830934912.

The previous prime is 900398143. The next prime is 900398189. The reversal of 900398161 is 161893009.

It can be written as a sum of positive squares in 4 ways, for example, as 64899136 + 835499025 = 8056^2 + 28905^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 900398161 - 27 = 900398033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 900398161.

It is not an unprimeable number, because it can be changed into a prime (900398111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88695 + ... + 98323.

It is an arithmetic number, because the mean of its divisors is an integer number (121236885).

Almost surely, 2900398161 is an apocalyptic number.

It is an amenable number.

900398161 is a deficient number, since it is larger than the sum of its proper divisors (69496919).

900398161 is a wasteful number, since it uses less digits than its factorization.

900398161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16835.

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 900398161 is about 30006.6352828837. The cubic root of 900398161 is about 965.6317414736.

It can be divided in two parts, 900 and 398161, that multiplied together give a square (358344900 = 189302).

The spelling of 900398161 in words is "nine hundred million, three hundred ninety-eight thousand, one hundred sixty-one".

Divisors: 1 13 7193 9629 93509 125177 69261397 900398161