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180674741 = 1341615557
BaseRepresentation
bin10101100010011…
…10000010110101
3110120222020011002
422301032002311
5332223042431
625532253045
74322465342
oct1261160265
9416866132
10180674741
1192a93675
1250611185
132b57c040
1419dd17c9
1510cdd3cb
hexac4e0b5

180674741 has 16 divisors (see below), whose sum is σ = 202622448. Its totient is φ = 160012800.

The previous prime is 180674723. The next prime is 180674771. The reversal of 180674741 is 147476081.

It can be written as a sum of positive squares in 8 ways, for example, as 42706225 + 137968516 = 6535^2 + 11746^2 .

It is a cyclic number.

It is not a de Polignac number, because 180674741 - 26 = 180674677 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 180674695 and 180674704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180674701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29735 + ... + 35291.

It is an arithmetic number, because the mean of its divisors is an integer number (12663903).

Almost surely, 2180674741 is an apocalyptic number.

It is an amenable number.

180674741 is a deficient number, since it is larger than the sum of its proper divisors (21947707).

180674741 is a wasteful number, since it uses less digits than its factorization.

180674741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672.

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 180674741 is about 13441.5304560158. The cubic root of 180674741 is about 565.3262438279.

The spelling of 180674741 in words is "one hundred eighty million, six hundred seventy-four thousand, seven hundred forty-one".

Divisors: 1 13 41 61 533 793 2501 5557 32513 72241 227837 338977 2961881 4406701 13898057 180674741