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18658220 = 2257279241
BaseRepresentation
bin100011100101…
…1001110101100
31022002221021012
41013023032230
514234030340
61503524352
7314410100
oct107131654
938087235
1018658220
11a594219
1262b96b8
133b33789
142699900
151988565
hex11cb3ac

18658220 has 72 divisors (see below), whose sum is σ = 46347840. Its totient is φ = 6289920.

The previous prime is 18658207. The next prime is 18658229. The reversal of 18658220 is 2285681.

It is not an unprimeable number, because it can be changed into a prime (18658229) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 77300 + ... + 77540.

It is an arithmetic number, because the mean of its divisors is an integer number (643720).

Almost surely, 218658220 is an apocalyptic number.

18658220 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 18658220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23173920).

18658220 is an abundant number, since it is smaller than the sum of its proper divisors (27689620).

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

18658220 is a wasteful number, since it uses less digits than its factorization.

18658220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 18658220 is about 4319.5161766105. The cubic root of 18658220 is about 265.2304628590.

The spelling of 18658220 in words is "eighteen million, six hundred fifty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 79 98 140 158 196 241 245 316 395 482 490 553 790 964 980 1106 1205 1580 1687 2212 2410 2765 3374 3871 4820 5530 6748 7742 8435 11060 11809 15484 16870 19039 19355 23618 33740 38078 38710 47236 59045 76156 77420 95195 118090 133273 190390 236180 266546 380780 533092 666365 932911 1332730 1865822 2665460 3731644 4664555 9329110 18658220