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90243 = 3237271
BaseRepresentation
bin10110000010000011
311120210100
4112002003
510341433
61533443
7524046
oct260203
9146710
1090243
116188a
1244283
13320ca
1424c5d
151bb13
hex16083

90243 has 12 divisors (see below), whose sum is σ = 134368. Its totient is φ = 58320.

The previous prime is 90239. The next prime is 90247. The reversal of 90243 is 34209.

It is an interprime number because it is at equal distance from previous prime (90239) and next prime (90247).

It is not a de Polignac number, because 90243 - 22 = 90239 is a prime.

It is a Duffinian number.

90243 is a modest number, since divided by 243 gives 90 as remainder.

It is not an unprimeable number, because it can be changed into a prime (90247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198 + ... + 468.

290243 is an apocalyptic number.

90243 is a deficient number, since it is larger than the sum of its proper divisors (44125).

90243 is a wasteful number, since it uses less digits than its factorization.

With its successor (90244) it forms an eRAP, since the sums of their prime factors are consecutive (314 and 315).

90243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 90243 is about 300.4047269934. The cubic root of 90243 is about 44.8543438633.

It can be divided in two parts, 9024 and 3, that multiplied together give a palindrome (27072).

The spelling of 90243 in words is "ninety thousand, two hundred forty-three".

Divisors: 1 3 9 37 111 271 333 813 2439 10027 30081 90243