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5674600 = 2352171669
BaseRepresentation
bin10101101001011001101000
3101200022002101
4111221121220
52423041400
6321343144
766143011
oct25513150
911608071
105674600
113226458
121a97ab4
131238b69
14a7a008
1577156a
hex569668

5674600 has 48 divisors (see below), whose sum is σ = 13977900. Its totient is φ = 2135040.

The previous prime is 5674589. The next prime is 5674601. The reversal of 5674600 is 64765.

It can be written as a sum of positive squares in 6 ways, for example, as 2965284 + 2709316 = 1722^2 + 1646^2 .

It is not an unprimeable number, because it can be changed into a prime (5674601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2566 + ... + 4234.

Almost surely, 25674600 is an apocalyptic number.

5674600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5674600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988950).

5674600 is an abundant number, since it is smaller than the sum of its proper divisors (8303300).

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

5674600 is a wasteful number, since it uses less digits than its factorization.

5674600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 5674600 is about 2382.1418933388. The cubic root of 5674600 is about 178.3658678426.

The spelling of 5674600 in words is "five million, six hundred seventy-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1669 1700 3338 3400 6676 8345 13352 16690 28373 33380 41725 56746 66760 83450 113492 141865 166900 226984 283730 333800 567460 709325 1134920 1418650 2837300 5674600