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675090 = 232513577
BaseRepresentation
bin10100100110100010010
31021022001100
42210310102
5133100330
622245230
75511123
oct2446422
91238040
10675090
11421229
12286816
131a8380
1413804a
15d5060
hexa4d12

675090 has 48 divisors (see below), whose sum is σ = 1893528. Its totient is φ = 165888.

The previous prime is 675083. The next prime is 675097. The reversal of 675090 is 90576.

It is an interprime number because it is at equal distance from previous prime (675083) and next prime (675097).

It can be written as a sum of positive squares in 4 ways, for example, as 613089 + 62001 = 783^2 + 249^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675097) by changing a digit.

675090 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882 + ... + 1458.

2675090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946764).

675090 is an abundant number, since it is smaller than the sum of its proper divisors (1218438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

675090 is a wasteful number, since it uses less digits than its factorization.

675090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 675090 is about 821.6386066879. The cubic root of 675090 is about 87.7244306634.

The spelling of 675090 in words is "six hundred seventy-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 577 585 1154 1170 1731 2885 3462 5193 5770 7501 8655 10386 15002 17310 22503 25965 37505 45006 51930 67509 75010 112515 135018 225030 337545 675090