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18010944 = 263371489
BaseRepresentation
bin100010010110…
…1001101000000
31020220001101000
41010231031000
514102322234
61442012000
7306043020
oct104551500
936801330
1018010944
11a191986
126047000
133967c83
14256ba80
1518ab899
hex112d340

18010944 has 112 divisors (see below), whose sum is σ = 60553600. Its totient is φ = 5142528.

The previous prime is 18010919. The next prime is 18010963. The reversal of 18010944 is 44901081.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×180109442 = 648788207542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11352 + ... + 12840.

Almost surely, 218010944 is an apocalyptic number.

18010944 is a gapful number since it is divisible by the number (14) 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 18010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30276800).

18010944 is an abundant number, since it is smaller than the sum of its proper divisors (42542656).

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

18010944 is a wasteful number, since it uses less digits than its factorization.

18010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 18010944 is about 4243.9302539038. The cubic root of 18010944 is about 262.1272423524.

The spelling of 18010944 in words is "eighteen million, ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1489 1512 1728 2016 2978 3024 4032 4467 5956 6048 8934 10423 11912 12096 13401 17868 20846 23824 26802 31269 35736 40203 41692 47648 53604 62538 71472 80406 83384 93807 95296 107208 125076 142944 160812 166768 187614 214416 250152 281421 285888 321624 333536 375228 428832 500304 562842 643248 667072 750456 857664 1000608 1125684 1286496 1500912 2001216 2251368 2572992 3001824 4502736 6003648 9005472 18010944