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180042724 = 2267092
BaseRepresentation
bin10101011101100…
…11101111100100
3110112210010012001
422232303233210
5332042331344
625510535044
74314223621
oct1256635744
9415703161
10180042724
11926a1844
1250367484
132b3ba474
1419ca9348
1510c15ed4
hexabb3be4

180042724 has 9 divisors (see below), whose sum is σ = 315121737. Its totient is φ = 90007944.

The previous prime is 180042721. The next prime is 180042739. The reversal of 180042724 is 427240081.

The square root of 180042724 is 13418.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 119202724 + 60840000 = 10918^2 + 7800^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 180042692 and 180042701.

It is not an unprimeable number, because it can be changed into a prime (180042721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 23482 + ... + 30190.

Almost surely, 2180042724 is an apocalyptic number.

180042724 is the 13418-th square number.

It is an amenable number.

180042724 is a deficient number, since it is larger than the sum of its proper divisors (135079013).

180042724 is an frugal number, since it uses more digits than its factorization.

180042724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13422 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The cubic root of 180042724 is about 564.6662858206. Note that the first 3 decimals are identical.

The spelling of 180042724 in words is "one hundred eighty million, forty-two thousand, seven hundred twenty-four".

Divisors: 1 2 4 6709 13418 26836 45010681 90021362 180042724