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146000 = 245373
BaseRepresentation
bin100011101001010000
321102021102
4203221100
514133000
63043532
71145441
oct435120
9242242
10146000
119a768
12705a8
13515ba
143b2c8
152d3d5
hex23a50

146000 has 40 divisors (see below), whose sum is σ = 357864. Its totient is φ = 57600.

The previous prime is 145991. The next prime is 146009. The reversal of 146000 is 641.

146000 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (145991) and next prime (146009).

It can be written as a sum of positive squares in 4 ways, for example, as 4624 + 141376 = 68^2 + 376^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146009) by changing a digit.

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, 1964 + ... + 2036.

2146000 is an apocalyptic number.

146000 is a gapful number since it is divisible by the number (10) 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 146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178932).

146000 is an abundant number, since it is smaller than the sum of its proper divisors (211864).

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

146000 is an equidigital number, since it uses as much as digits as its factorization.

146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 146000 is about 382.0994634909. The cubic root of 146000 is about 52.6563742817.

Adding to 146000 its reverse (641), we get a palindrome (146641).

The spelling of 146000 in words is "one hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 5840 7300 9125 14600 18250 29200 36500 73000 146000