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18683120 = 245409571
BaseRepresentation
bin100011101000…
…1010011110000
31022011012102102
41013101103300
514240324440
61504235532
7314542511
oct107212360
938135372
1018683120
11a6009a5
12630bba8
133b41c01
1426a4a08
151990b15
hex11d14f0

18683120 has 40 divisors (see below), whose sum is σ = 43620720. Its totient is φ = 7441920.

The previous prime is 18683057. The next prime is 18683143. The reversal of 18683120 is 2138681.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 32435 + ... + 33005.

It is an arithmetic number, because the mean of its divisors is an integer number (1090518).

Almost surely, 218683120 is an apocalyptic number.

18683120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18683120 is an abundant number, since it is smaller than the sum of its proper divisors (24937600).

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

18683120 is a wasteful number, since it uses less digits than its factorization.

18683120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 18683120 is about 4322.3974828791. The cubic root of 18683120 is about 265.3483966320.

The spelling of 18683120 in words is "eighteen million, six hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 409 571 818 1142 1636 2045 2284 2855 3272 4090 4568 5710 6544 8180 9136 11420 16360 22840 32720 45680 233539 467078 934156 1167695 1868312 2335390 3736624 4670780 9341560 18683120