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90465 = 3537163
BaseRepresentation
bin10110000101100001
311121002120
4112011201
510343330
61534453
7524514
oct260541
9147076
1090465
1161a71
1244429
133223b
1424d7b
151bc10
hex16161

90465 has 16 divisors (see below), whose sum is σ = 149568. Its totient is φ = 46656.

The previous prime is 90439. The next prime is 90469. The reversal of 90465 is 56409.

90465 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 90465 - 26 = 90401 is a prime.

It is an Ulam number.

90465 is an undulating number in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90469) 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 15 ways as a sum of consecutive naturals, for example, 474 + ... + 636.

It is an arithmetic number, because the mean of its divisors is an integer number (9348).

290465 is an apocalyptic number.

It is an amenable number.

90465 is a deficient number, since it is larger than the sum of its proper divisors (59103).

90465 is a wasteful number, since it uses less digits than its factorization.

90465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 90465 is about 300.7740015360. The cubic root of 90465 is about 44.8910946735.

It can be divided in two parts, 904 and 65, that added together give a palindrome (969).

The spelling of 90465 in words is "ninety thousand, four hundred sixty-five".

Divisors: 1 3 5 15 37 111 163 185 489 555 815 2445 6031 18093 30155 90465