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18913680 = 24325109241
BaseRepresentation
bin100100000100…
…1100110010000
31022120220200200
41020021212100
514320214210
61513215200
7316522632
oct110114620
938526620
1018913680
11a749145
126401500
133bc2b36
142724a52
1519d90c0
hex1209990

18913680 has 120 divisors (see below), whose sum is σ = 64367160. Its totient is φ = 4976640.

The previous prime is 18913667. The next prime is 18913691. The reversal of 18913680 is 8631981.

It can be written as a sum of positive squares in 4 ways, for example, as 5253264 + 13660416 = 2292^2 + 3696^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×189136802 = 715454582284800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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, 78360 + ... + 78600.

It is an arithmetic number, because the mean of its divisors is an integer number (536393).

Almost surely, 218913680 is an apocalyptic number.

18913680 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 18913680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32183580).

18913680 is an abundant number, since it is smaller than the sum of its proper divisors (45453480).

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

18913680 is a wasteful number, since it uses less digits than its factorization.

18913680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 18913680 is about 4348.9860887338. The cubic root of 18913680 is about 266.4354523605.

The spelling of 18913680 in words is "eighteen million, nine hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 109 120 144 180 218 240 241 327 360 436 482 545 654 720 723 872 964 981 1090 1205 1308 1446 1635 1744 1928 1962 2169 2180 2410 2616 2892 3270 3615 3856 3924 4338 4360 4820 4905 5232 5784 6540 7230 7848 8676 8720 9640 9810 10845 11568 13080 14460 15696 17352 19280 19620 21690 26160 26269 28920 34704 39240 43380 52538 57840 78480 78807 86760 105076 131345 157614 173520 210152 236421 262690 315228 394035 420304 472842 525380 630456 788070 945684 1050760 1182105 1260912 1576140 1891368 2101520 2364210 3152280 3782736 4728420 6304560 9456840 18913680