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18829980 = 22325132619
BaseRepresentation
bin100011111010…
…1001010011100
31022102122212200
41013311022130
514310024410
61511331500
7316023621
oct107651234
938378780
1018829980
11a6a1274
126380b90
133b93a00
142702348
1519be3c0
hex11f529c

18829980 has 108 divisors (see below), whose sum is σ = 61949160. Its totient is φ = 4627584.

The previous prime is 18829919. The next prime is 18830023. The reversal of 18829980 is 8992881.

It is a super-3 number, since 3×188299803 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 30111 + ... + 30729.

Almost surely, 218829980 is an apocalyptic number.

18829980 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 18829980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30974580).

18829980 is an abundant number, since it is smaller than the sum of its proper divisors (43119180).

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

18829980 is a wasteful number, since it uses less digits than its factorization.

18829980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 18829980 is about 4339.3524862588. The cubic root of 18829980 is about 266.0418461687.

The spelling of 18829980 in words is "eighteen million, eight hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 619 676 780 845 1014 1170 1238 1521 1690 1857 2028 2340 2476 2535 3042 3095 3380 3714 5070 5571 6084 6190 7428 7605 8047 9285 10140 11142 12380 15210 16094 18570 22284 24141 27855 30420 32188 37140 40235 48282 55710 72423 80470 96564 104611 111420 120705 144846 160940 209222 241410 289692 313833 362115 418444 482820 523055 627666 724230 941499 1046110 1255332 1448460 1569165 1882998 2092220 3138330 3765996 4707495 6276660 9414990 18829980