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180381366 = 232115317189
BaseRepresentation
bin10101100000001…
…10011010110110
3110120102022201100
422300012122312
5332134200431
625522110530
74320134124
oct1260063266
9416368640
10180381366
1192903210
12504ab446
132b4a8649
1419d56914
1510c814e6
hexac066b6

180381366 has 48 divisors (see below), whose sum is σ = 434425680. Its totient is φ = 53626560.

The previous prime is 180381359. The next prime is 180381379. The reversal of 180381366 is 663183081.

It is a self number, because there is not a number n which added to its sum of digits gives 180381366.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1900 + ... + 19088.

It is an arithmetic number, because the mean of its divisors is an integer number (9050535).

Almost surely, 2180381366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180381366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217212840).

180381366 is an abundant number, since it is smaller than the sum of its proper divisors (254044314).

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

180381366 is a wasteful number, since it uses less digits than its factorization.

180381366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17261 (or 17258 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 180381366 is about 13430.6130165380. The cubic root of 180381366 is about 565.0200906527.

The spelling of 180381366 in words is "one hundred eighty million, three hundred eighty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 5247 10494 17189 34378 51567 103134 154701 189079 309402 378158 567237 911017 1134474 1701711 1822034 2733051 3403422 5466102 8199153 10021187 16398306 20042374 30063561 60127122 90190683 180381366