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18781980 = 22357197227
BaseRepresentation
bin100011110100…
…1011100011100
31022100020000220
41013221130130
514302010410
61510321340
7315433650
oct107513434
938306026
1018781980
11a6691a8
126359250
133b77bc9
1426cca60
1519b0070
hex11e971c

18781980 has 96 divisors (see below), whose sum is σ = 60673536. Its totient is φ = 4252416.

The previous prime is 18781979. The next prime is 18781993. The reversal of 18781980 is 8918781.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 82627 + ... + 82853.

It is an arithmetic number, because the mean of its divisors is an integer number (632016).

Almost surely, 218781980 is an apocalyptic number.

18781980 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 18781980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30336768).

18781980 is an abundant number, since it is smaller than the sum of its proper divisors (41891556).

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

18781980 is a wasteful number, since it uses less digits than its factorization.

18781980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 42.

The square root of 18781980 is about 4333.8181780042. The cubic root of 18781980 is about 265.8155957107.

The spelling of 18781980 in words is "eighteen million, seven hundred eighty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 197 210 227 394 420 454 591 681 788 908 985 1135 1182 1362 1379 1589 1970 2270 2364 2724 2758 2955 3178 3405 3940 4137 4540 4767 5516 5910 6356 6810 6895 7945 8274 9534 11820 13620 13790 15890 16548 19068 20685 23835 27580 31780 41370 44719 47670 82740 89438 95340 134157 178876 223595 268314 313033 447190 536628 626066 670785 894380 939099 1252132 1341570 1565165 1878198 2683140 3130330 3756396 4695495 6260660 9390990 18781980