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90506 = 213592
BaseRepresentation
bin10110000110001010
311121011002
4112012022
510344011
61535002
7524603
oct260612
9147132
1090506
1161aa9
1244462
1332270
1424daa
151bc3b
hex1618a

90506 has 12 divisors (see below), whose sum is σ = 148722. Its totient is φ = 41064.

The previous prime is 90499. The next prime is 90511. The reversal of 90506 is 60509.

It can be written as a sum of positive squares in only one way, i.e., 87025 + 3481 = 295^2 + 59^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1505 + ... + 1563.

290506 is an apocalyptic number.

90506 is a deficient number, since it is larger than the sum of its proper divisors (58216).

90506 is a wasteful number, since it uses less digits than its factorization.

90506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 90506 is about 300.8421513020. The cubic root of 90506 is about 44.8978754060.

The spelling of 90506 in words is "ninety thousand, five hundred six".

Divisors: 1 2 13 26 59 118 767 1534 3481 6962 45253 90506