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18081120 = 2535139271
BaseRepresentation
bin100010011111…
…0010101100000
31021000121122010
41010332111200
514112043440
61443312520
7306454431
oct104762540
937017563
1018081120
11a22a682
12607b740
133990bb5
142589488
1518c2580
hex113e560

18081120 has 96 divisors (see below), whose sum is σ = 57576960. Its totient is φ = 4769280.

The previous prime is 18081097. The next prime is 18081131. The reversal of 18081120 is 2118081.

18081120 = T2000 + T2001 + ... + T2008.

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

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, 66585 + ... + 66855.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 218081120 is an apocalyptic number.

18081120 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 18081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788480).

18081120 is an abundant number, since it is smaller than the sum of its proper divisors (39495840).

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

18081120 is a wasteful number, since it uses less digits than its factorization.

18081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 18081120 is about 4252.1900239759. The cubic root of 18081120 is about 262.4672430780.

The spelling of 18081120 in words is "eighteen million, eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 240 271 278 417 480 542 556 695 813 834 1084 1112 1355 1390 1626 1668 2085 2168 2224 2710 2780 3252 3336 4065 4170 4336 4448 5420 5560 6504 6672 8130 8340 8672 10840 11120 13008 13344 16260 16680 21680 22240 26016 32520 33360 37669 43360 65040 66720 75338 113007 130080 150676 188345 226014 301352 376690 452028 565035 602704 753380 904056 1130070 1205408 1506760 1808112 2260140 3013520 3616224 4520280 6027040 9040560 18081120