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17980380 = 22345111009
BaseRepresentation
bin100010010010…
…1101111011100
31020211111110000
41010211233130
514100333010
61441214300
7305554635
oct104455734
936744400
1017980380
11a170a20
126031390
1339570a2
14256088c
1518a27c0
hex1125bdc

17980380 has 120 divisors (see below), whose sum is σ = 61593840. Its totient is φ = 4354560.

The previous prime is 17980379. The next prime is 17980381. The reversal of 17980380 is 8308971.

It is an interprime number because it is at equal distance from previous prime (17980379) and next prime (17980381).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17980381) 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 39 ways as a sum of consecutive naturals, for example, 17316 + ... + 18324.

It is an arithmetic number, because the mean of its divisors is an integer number (513282).

Almost surely, 217980380 is an apocalyptic number.

17980380 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 17980380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30796920).

17980380 is an abundant number, since it is smaller than the sum of its proper divisors (43613460).

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

17980380 is a wasteful number, since it uses less digits than its factorization.

17980380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 17980380 is about 4240.3278175160. The cubic root of 17980380 is about 261.9788845326.

The spelling of 17980380 in words is "seventeen million, nine hundred eighty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1009 1188 1485 1620 1782 1980 2018 2970 3027 3564 4036 4455 5045 5940 6054 8910 9081 10090 11099 12108 15135 17820 18162 20180 22198 27243 30270 33297 36324 44396 45405 54486 55495 60540 66594 81729 90810 99891 108972 110990 133188 136215 163458 166485 181620 199782 221980 272430 299673 326916 332970 399564 408645 499455 544860 599346 665940 817290 899019 998910 1198692 1498365 1634580 1798038 1997820 2996730 3596076 4495095 5993460 8990190 17980380