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180380020 = 2259019001
BaseRepresentation
bin10101100000001…
…10000101110100
3110120102020212111
422300012011310
5332134130040
625522100404
74320130162
oct1260060564
9416366774
10180380020
11929021a7
12504aa704
132b4a7b52
1419d56232
1510c80dea
hexac06174

180380020 has 12 divisors (see below), whose sum is σ = 378798084. Its totient is φ = 72152000.

The previous prime is 180380003. The next prime is 180380021. The reversal of 180380020 is 20083081.

It can be written as a sum of positive squares in 2 ways, for example, as 106626276 + 73753744 = 10326^2 + 8588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 180379973 and 180380000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180380021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4509481 + ... + 4509520.

It is an arithmetic number, because the mean of its divisors is an integer number (31566507).

Almost surely, 2180380020 is an apocalyptic number.

180380020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180380020 is an abundant number, since it is smaller than the sum of its proper divisors (198418064).

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

180380020 is a wasteful number, since it uses less digits than its factorization.

180380020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9019010 (or 9019008 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 180380020 is about 13430.5629070415. The cubic root of 180380020 is about 565.0186852619.

The spelling of 180380020 in words is "one hundred eighty million, three hundred eighty thousand, twenty".

Divisors: 1 2 4 5 10 20 9019001 18038002 36076004 45095005 90190010 180380020