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146180 = 2257309
BaseRepresentation
bin100011101100000100
321102112002
4203230010
514134210
63044432
71146116
oct435404
9242462
10146180
119a911
1270718
13516c8
143b3b6
152d4a5
hex23b04

146180 has 12 divisors (see below), whose sum is σ = 307020. Its totient is φ = 58464.

The previous prime is 146173. The next prime is 146191. The reversal of 146180 is 81641.

It can be written as a sum of positive squares in 2 ways, for example, as 58564 + 87616 = 242^2 + 296^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 7309 = 146180 / (1 + 4 + 6 + 1 + 8 + 0).

It is a congruent number.

It is an unprimeable number.

146180 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 3635 + ... + 3674.

It is an arithmetic number, because the mean of its divisors is an integer number (25585).

2146180 is an apocalyptic number.

146180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146180 is an abundant number, since it is smaller than the sum of its proper divisors (160840).

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

146180 is a wasteful number, since it uses less digits than its factorization.

146180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7318 (or 7316 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 146180 is about 382.3349317026. The cubic root of 146180 is about 52.6780050007.

The spelling of 146180 in words is "one hundred forty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 7309 14618 29236 36545 73090 146180