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180823916 = 227213253103
BaseRepresentation
bin10101100011100…
…10011101101100
3110121020210210002
422301302131230
5332242331131
625535403432
74323656300
oct1261623554
9417223702
10180823916
1193085759
1250683578
132b601c00
141a02dd00
1510d1c6cb
hexac7276c

180823916 has 108 divisors (see below), whose sum is σ = 410063472. Its totient is φ = 69503616.

The previous prime is 180823913. The next prime is 180823933. The reversal of 180823916 is 619328081.

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

It is a self number, because there is not a number n which added to its sum of digits gives 180823916.

It is not an unprimeable number, because it can be changed into a prime (180823913) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1755521 + ... + 1755623.

It is an arithmetic number, because the mean of its divisors is an integer number (3796884).

Almost surely, 2180823916 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 180823916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205031736).

180823916 is an abundant number, since it is smaller than the sum of its proper divisors (229239556).

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

180823916 is a wasteful number, since it uses less digits than its factorization.

180823916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 180823916 is about 13447.0783443840. The cubic root of 180823916 is about 565.4817891700.

The spelling of 180823916 in words is "one hundred eighty million, eight hundred twenty-three thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 49 52 53 91 98 103 106 169 182 196 206 212 338 364 371 412 637 676 689 721 742 1183 1274 1339 1378 1442 1484 2366 2548 2597 2678 2756 2884 4732 4823 5047 5194 5356 5459 8281 8957 9373 9646 10094 10388 10918 16562 17407 17914 18746 19292 20188 21836 33124 33761 34814 35828 37492 38213 62699 65611 67522 69628 70967 76426 121849 125398 131222 135044 141934 152852 243698 250796 262444 267491 283868 438893 487396 496769 534982 852943 877786 922571 993538 1069964 1705886 1755572 1845142 1987076 3411772 3477383 3690284 6457997 6954766 12915994 13909532 25831988 45205979 90411958 180823916