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283073 = 7253109
BaseRepresentation
bin1000101000111000001
3112101022012
41011013001
533024243
610022305
72256200
oct1050701
9471265
10283073
1118374a
12117995
139bacb
1475237
1558d18
hex451c1

283073 has 12 divisors (see below), whose sum is σ = 338580. Its totient is φ = 235872.

The previous prime is 283051. The next prime is 283079. The reversal of 283073 is 370382.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 82369 = 448^2 + 287^2 .

It is not a de Polignac number, because 283073 - 26 = 283009 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 283073.

It is not an unprimeable number, because it can be changed into a prime (283079) 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 11 ways as a sum of consecutive naturals, for example, 2543 + ... + 2651.

It is an arithmetic number, because the mean of its divisors is an integer number (28215).

2283073 is an apocalyptic number.

It is an amenable number.

283073 is a deficient number, since it is larger than the sum of its proper divisors (55507).

283073 is a wasteful number, since it uses less digits than its factorization.

283073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 283073 is about 532.0460506385. The cubic root of 283073 is about 65.6597889619.

The spelling of 283073 in words is "two hundred eighty-three thousand, seventy-three".

Divisors: 1 7 49 53 109 371 763 2597 5341 5777 40439 283073