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875340 = 223351621
BaseRepresentation
bin11010101101101001100
31122110202000
43111231030
5211002330
630432300
710304004
oct3255514
91573660
10875340
11548724
12362690
1324856b
1418b004
15124560
hexd5b4c

875340 has 48 divisors (see below), whose sum is σ = 2724960. Its totient is φ = 233280.

The previous prime is 875339. The next prime is 875341. The reversal of 875340 is 43578.

It is an interprime number because it is at equal distance from previous prime (875339) and next prime (875341).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (875341) 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 15 ways as a sum of consecutive naturals, for example, 271 + ... + 1350.

It is an arithmetic number, because the mean of its divisors is an integer number (56770).

2875340 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 875340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362480).

875340 is an abundant number, since it is smaller than the sum of its proper divisors (1849620).

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

875340 is a wasteful number, since it uses less digits than its factorization.

875340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 875340 is about 935.5960666869. The cubic root of 875340 is about 95.6589460411.

The spelling of 875340 in words is "eight hundred seventy-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1621 3242 4863 6484 8105 9726 14589 16210 19452 24315 29178 32420 43767 48630 58356 72945 87534 97260 145890 175068 218835 291780 437670 875340