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180445980 = 2235111321031
BaseRepresentation
bin10101100000101…
…10001100011100
3110120112121100110
422300112030130
5332143232410
625523330020
74320523401
oct1260261434
9416477313
10180445980
1192947810
1250520910
132b4cbb90
1419d722a8
1510c95720
hexac1631c

180445980 has 96 divisors (see below), whose sum is σ = 593607168. Its totient is φ = 40377600.

The previous prime is 180445957. The next prime is 180445981. The reversal of 180445980 is 89544081.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180445981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1936 + ... + 19095.

It is an arithmetic number, because the mean of its divisors is an integer number (6183408).

Almost surely, 2180445980 is an apocalyptic number.

180445980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180445980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296803584).

180445980 is an abundant number, since it is smaller than the sum of its proper divisors (413161188).

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

180445980 is a wasteful number, since it uses less digits than its factorization.

180445980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21067 (or 21065 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 180445980 is about 13433.0182758753. The cubic root of 180445980 is about 565.0875474539.

The spelling of 180445980 in words is "one hundred eighty million, four hundred forty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 21031 42062 63093 84124 105155 126186 210310 231341 252372 273403 315465 420620 462682 546806 630930 694023 820209 925364 1093612 1156705 1261860 1367015 1388046 1640418 2313410 2734030 2776092 3007433 3280836 3470115 4101045 4626820 5468060 6014866 6940230 8202090 9022299 12029732 13880460 15037165 16404180 18044598 30074330 36089196 45111495 60148660 90222990 180445980