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145800 = 233652
BaseRepresentation
bin100011100110001000
321102000000
4203212020
514131200
63043000
71145034
oct434610
9242000
10145800
119a5a6
1270460
1351495
143b1c4
152d300
hex23988

145800 has 84 divisors (see below), whose sum is σ = 508245. Its totient is φ = 38880.

The previous prime is 145799. The next prime is 145807. The reversal of 145800 is 8541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 142884 + 2916 = 378^2 + 54^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=270.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (145807) 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 20 ways as a sum of consecutive naturals, for example, 29158 + ... + 29162.

2145800 is an apocalyptic number.

145800 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 145800

145800 is an abundant number, since it is smaller than the sum of its proper divisors (362445).

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

145800 is an equidigital number, since it uses as much as digits as its factorization.

145800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 145800 is about 381.8376618407. The cubic root of 145800 is about 52.6323192878.

Multiplying 145800 by its sum of digits (18), we get a square (2624400 = 16202).

145800 divided by its sum of digits (18) gives a square (8100 = 902).

The spelling of 145800 in words is "one hundred forty-five thousand, eight hundred".