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18830268 = 22323147359
BaseRepresentation
bin100011111010…
…1001110111100
31022102200021100
41013311032330
514310032033
61511333100
7316024512
oct107651674
938380240
1018830268
11a6a1506
126381190
133b93b92
1427024b2
1519be513
hex11f53bc

18830268 has 72 divisors (see below), whose sum is σ = 50319360. Its totient is φ = 5928480.

The previous prime is 18830257. The next prime is 18830281. The reversal of 18830268 is 86203881.

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

It is a congruent number.

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, 52273 + ... + 52631.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 218830268 is an apocalyptic number.

18830268 is a gapful number since it is divisible by the number (18) 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 18830268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

18830268 is an abundant number, since it is smaller than the sum of its proper divisors (31489092).

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

18830268 is a wasteful number, since it uses less digits than its factorization.

18830268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 442 counting only the distinct ones).

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

The square root of 18830268 is about 4339.3856708064. The cubic root of 18830268 is about 266.0432025104.

The spelling of 18830268 in words is "eighteen million, eight hundred thirty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 359 372 423 558 564 718 846 1077 1116 1436 1457 1692 2154 2914 3231 4308 4371 5828 6462 8742 11129 12924 13113 16873 17484 22258 26226 33387 33746 44516 50619 52452 66774 67492 100161 101238 133548 151857 200322 202476 303714 400644 523063 607428 1046126 1569189 2092252 3138378 4707567 6276756 9415134 18830268