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71884780 = 225111931693
BaseRepresentation
bin1000100100011…
…01111111101100
312000021010101021
410102031333230
5121400303110
611044423524
71532003422
oct422157754
9160233337
1071884780
1137639110
12200a7ba4
1311b7b696
149793112
15649e2da
hex448dfec

71884780 has 48 divisors (see below), whose sum is σ = 165632544. Its totient is φ = 25989120.

The previous prime is 71884763. The next prime is 71884783. The reversal of 71884780 is 8748817.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (71884783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41614 + ... + 43306.

It is an arithmetic number, because the mean of its divisors is an integer number (3450678).

Almost surely, 271884780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71884780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82816272).

71884780 is an abundant number, since it is smaller than the sum of its proper divisors (93747764).

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

71884780 is a wasteful number, since it uses less digits than its factorization.

71884780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 43.

The square root of 71884780 is about 8478.4892522194. The cubic root of 71884780 is about 415.7947320024.

The spelling of 71884780 in words is "seventy-one million, eight hundred eighty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 772 965 1693 1930 2123 3386 3860 4246 6772 8465 8492 10615 16930 18623 21230 33860 37246 42460 74492 93115 186230 326749 372460 653498 1306996 1633745 3267490 3594239 6534980 7188478 14376956 17971195 35942390 71884780