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90945 = 3254347
BaseRepresentation
bin10110001101000001
311121202100
4112031001
510402240
61541013
7526101
oct261501
9147670
1090945
1162368
1244769
133251a
1425201
151be30
hex16341

90945 has 24 divisors (see below), whose sum is σ = 164736. Its totient is φ = 46368.

The previous prime is 90931. The next prime is 90947. The reversal of 90945 is 54909.

It is a happy number.

It is not a de Polignac number, because 90945 - 211 = 88897 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1912 + ... + 1958.

It is an arithmetic number, because the mean of its divisors is an integer number (6864).

290945 is an apocalyptic number.

It is an amenable number.

90945 is a deficient number, since it is larger than the sum of its proper divisors (73791).

90945 is a wasteful number, since it uses less digits than its factorization.

90945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 90945 is about 301.5708871891. The cubic root of 90945 is about 44.9703508397.

It can be divided in two parts, 90 and 945, that added together give a triangular number (1035 = T45).

The spelling of 90945 in words is "ninety thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 43 45 47 129 141 215 235 387 423 645 705 1935 2021 2115 6063 10105 18189 30315 90945