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675700 = 225229233
BaseRepresentation
bin10100100111101110100
31021022212221
42210331310
5133110300
622252124
75512654
oct2447564
91238787
10675700
11421733
12287044
131a872c
14138364
15d531a
hexa4f74

675700 has 36 divisors (see below), whose sum is σ = 1523340. Its totient is φ = 259840.

The previous prime is 675643. The next prime is 675713. The reversal of 675700 is 7576.

It can be written as a sum of positive squares in 6 ways, for example, as 54756 + 620944 = 234^2 + 788^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

675700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2784 + ... + 3016.

It is an arithmetic number, because the mean of its divisors is an integer number (42315).

2675700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761670).

675700 is an abundant number, since it is smaller than the sum of its proper divisors (847640).

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

675700 is a wasteful number, since it uses less digits than its factorization.

675700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 675700 is about 822.0097323025. The cubic root of 675700 is about 87.7508448173.

675700 divided by its sum of digits (25) gives a triangular number (27028 = T232).

The spelling of 675700 in words is "six hundred seventy-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 233 290 466 580 725 932 1165 1450 2330 2900 4660 5825 6757 11650 13514 23300 27028 33785 67570 135140 168925 337850 675700