Search a number
-
+
18412380 = 2233574871
BaseRepresentation
bin100011000111…
…1001101011100
31021122110001000
41012033031130
514203144010
61454350300
7312334260
oct106171534
937573030
1018412380
11a436548
1261bb390
133a788cc
1426340a0
15193a7c0
hex118f35c

18412380 has 96 divisors (see below), whose sum is σ = 65479680. Its totient is φ = 4207680.

The previous prime is 18412363. The next prime is 18412417. The reversal of 18412380 is 8321481.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1345 + ... + 6215.

It is an arithmetic number, because the mean of its divisors is an integer number (682080).

Almost surely, 218412380 is an apocalyptic number.

18412380 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 18412380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32739840).

18412380 is an abundant number, since it is smaller than the sum of its proper divisors (47067300).

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

18412380 is a wasteful number, since it uses less digits than its factorization.

18412380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18412380 is about 4290.9649264472. The cubic root of 18412380 is about 264.0604200553.

The spelling of 18412380 in words is "eighteen million, four hundred twelve thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 4871 9742 14613 19484 24355 29226 34097 43839 48710 58452 68194 73065 87678 97420 102291 131517 136388 146130 170485 175356 204582 219195 263034 292260 306873 340970 409164 438390 511455 526068 613746 657585 681940 876780 920619 1022910 1227492 1315170 1534365 1841238 2045820 2630340 3068730 3682476 4603095 6137460 9206190 18412380