Search a number
-
+
18682380 = 22335291193
BaseRepresentation
bin100011101000…
…1001000001100
31022011011102000
41013101020030
514240314010
61504232300
7314540403
oct107211014
938134360
1018682380
11a600392
12630b690
133b41782
1426a463a
1519907c0
hex11d120c

18682380 has 96 divisors (see below), whose sum is σ = 60177600. Its totient is φ = 4806144.

The previous prime is 18682369. The next prime is 18682393. The reversal of 18682380 is 8328681.

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 31 ways as a sum of consecutive naturals, for example, 15064 + ... + 16256.

It is an arithmetic number, because the mean of its divisors is an integer number (626850).

Almost surely, 218682380 is an apocalyptic number.

18682380 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 18682380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30088800).

18682380 is an abundant number, since it is smaller than the sum of its proper divisors (41495220).

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

18682380 is a wasteful number, since it uses less digits than its factorization.

18682380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 18682380 is about 4322.3118813894. The cubic root of 18682380 is about 265.3448932841.

The spelling of 18682380 in words is "eighteen million, six hundred eighty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1193 1305 1566 1740 2386 2610 3132 3579 3915 4772 5220 5965 7158 7830 10737 11930 14316 15660 17895 21474 23860 32211 34597 35790 42948 53685 64422 69194 71580 103791 107370 128844 138388 161055 172985 207582 214740 311373 322110 345970 415164 518955 622746 644220 691940 934119 1037910 1245492 1556865 1868238 2075820 3113730 3736476 4670595 6227460 9341190 18682380