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18163680 = 253579479
BaseRepresentation
bin100010101001…
…0011111100000
31021011210212220
41011102133200
514122214210
61445151040
7310250223
oct105223740
937153786
1018163680
11a286707
1260bb480
1339bc652
1425ab5ba
1518dbc70
hex11527e0

18163680 has 96 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 4772352.

The previous prime is 18163679. The next prime is 18163693. The reversal of 18163680 is 8636181.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×181636802 = 659838542284800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37681 + ... + 38159.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 218163680 is an apocalyptic number.

18163680 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 18163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

18163680 is an abundant number, since it is smaller than the sum of its proper divisors (39897120).

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

18163680 is a wasteful number, since it uses less digits than its factorization.

18163680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 18163680 is about 4261.8869060546. The cubic root of 18163680 is about 262.8661195062.

The spelling of 18163680 in words is "eighteen million, one hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 158 160 237 240 316 395 474 479 480 632 790 948 958 1185 1264 1437 1580 1896 1916 2370 2395 2528 2874 3160 3792 3832 4740 4790 5748 6320 7185 7584 7664 9480 9580 11496 12640 14370 15328 18960 19160 22992 28740 37841 37920 38320 45984 57480 75682 76640 113523 114960 151364 189205 227046 229920 302728 378410 454092 567615 605456 756820 908184 1135230 1210912 1513640 1816368 2270460 3027280 3632736 4540920 6054560 9081840 18163680