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146800 = 2452367
BaseRepresentation
bin100011110101110000
321110101001
4203311300
514144200
63051344
71150663
oct436560
9243331
10146800
11a0325
1270b54
1351a84
143b6da
152d76a
hex23d70

146800 has 30 divisors (see below), whose sum is σ = 353648. Its totient is φ = 58560.

The previous prime is 146777. The next prime is 146801. The reversal of 146800 is 8641.

146800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146801) by changing a digit.

146800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 217 + ... + 583.

2146800 is an apocalyptic number.

146800 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 146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176824).

146800 is an abundant number, since it is smaller than the sum of its proper divisors (206848).

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

146800 is a wasteful number, since it uses less digits than its factorization.

146800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 146800 is about 383.1448812134. The cubic root of 146800 is about 52.7523751766.

It can be divided in two parts, 146 and 800, that added together give a triangular number (946 = T43).

The spelling of 146800 in words is "one hundred forty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 367 400 734 1468 1835 2936 3670 5872 7340 9175 14680 18350 29360 36700 73400 146800