Search a number
-
+
746000 = 2453373
BaseRepresentation
bin10110110001000010000
31101220022122
42312020100
5142333000
623553412
76224633
oct2661020
91356278
10746000
1146a532
122bb868
13201728
14155c1a
15eb085
hexb6210

746000 has 40 divisors (see below), whose sum is σ = 1808664. Its totient is φ = 297600.

The previous prime is 745999. The next prime is 746017. The reversal of 746000 is 647.

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 719104 = 164^2 + 848^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 746000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1814 + ... + 2186.

2746000 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 746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904332).

746000 is an abundant number, since it is smaller than the sum of its proper divisors (1062664).

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

746000 is a wasteful number, since it uses less digits than its factorization.

746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 746000 is about 863.7129152676. The cubic root of 746000 is about 90.6942198074.

Adding to 746000 its reverse (647), we get a palindrome (746647).

The spelling of 746000 in words is "seven hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 373 400 500 746 1000 1492 1865 2000 2984 3730 5968 7460 9325 14920 18650 29840 37300 46625 74600 93250 149200 186500 373000 746000