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18748080 = 24325132003
BaseRepresentation
bin100011110000…
…1001010110000
31022021111112100
41013201022300
514244414310
61505500400
7315233061
oct107411260
938244470
1018748080
11a64578a
126341700
133b65650
1426c0568
1519a4ec0
hex11e12b0

18748080 has 120 divisors (see below), whose sum is σ = 67839408. Its totient is φ = 4612608.

The previous prime is 18748073. The next prime is 18748091. The reversal of 18748080 is 8084781.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8359 + ... + 10361.

Almost surely, 218748080 is an apocalyptic number.

18748080 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 18748080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33919704).

18748080 is an abundant number, since it is smaller than the sum of its proper divisors (49091328).

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

18748080 is a wasteful number, since it uses less digits than its factorization.

18748080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 18748080 is about 4329.9053107429. The cubic root of 18748080 is about 265.6555739663.

The spelling of 18748080 in words is "eighteen million, seven hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2003 2340 3120 4006 4680 6009 8012 9360 10015 12018 16024 18027 20030 24036 26039 30045 32048 36054 40060 48072 52078 60090 72108 78117 80120 90135 96144 104156 120180 130195 144216 156234 160240 180270 208312 234351 240360 260390 288432 312468 360540 390585 416624 468702 480720 520780 624936 721080 781170 937404 1041560 1171755 1249872 1442160 1562340 1874808 2083120 2343510 3124680 3749616 4687020 6249360 9374040 18748080