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18768680 = 2357173943
BaseRepresentation
bin100011110011…
…0001100101000
31022022112210022
41013212030220
514301044210
61510140012
7315350120
oct107461450
938275708
1018768680
11a65a207
126351608
133b71b38
1426c7c80
1519ab155
hex11e6328

18768680 has 64 divisors (see below), whose sum is σ = 51114240. Its totient is φ = 6054912.

The previous prime is 18768679. The next prime is 18768703. The reversal of 18768680 is 8686781.

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, 2789 + ... + 6731.

It is an arithmetic number, because the mean of its divisors is an integer number (798660).

Almost surely, 218768680 is an apocalyptic number.

18768680 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 18768680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25557120).

18768680 is an abundant number, since it is smaller than the sum of its proper divisors (32345560).

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

18768680 is a wasteful number, since it uses less digits than its factorization.

18768680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 18768680 is about 4332.2834625634. The cubic root of 18768680 is about 265.7528372894.

The spelling of 18768680 in words is "eighteen million, seven hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 3943 4760 7886 15772 19715 27601 31544 39430 55202 67031 78860 110404 134062 138005 157720 220808 268124 276010 335155 469217 536248 552020 670310 938434 1104040 1340620 1876868 2346085 2681240 3753736 4692170 9384340 18768680