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18714180 = 22352371191
BaseRepresentation
bin100011101100…
…0111001000100
31022012210000210
41013120321010
514242323210
61505035420
7315032202
oct107307104
938183023
1018714180
11a622271
126325b70
133b530a4
1426b2072
151999e20
hex11d8e44

18714180 has 96 divisors (see below), whose sum is σ = 55738368. Its totient is φ = 4681600.

The previous prime is 18714149. The next prime is 18714181. The reversal of 18714180 is 8141781.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (18714181) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 97885 + ... + 98075.

It is an arithmetic number, because the mean of its divisors is an integer number (580608).

Almost surely, 218714180 is an apocalyptic number.

18714180 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 18714180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869184).

18714180 is an abundant number, since it is smaller than the sum of its proper divisors (37024188).

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

18714180 is a wasteful number, since it uses less digits than its factorization.

18714180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 18714180 is about 4325.9889042854. The cubic root of 18714180 is about 265.4953592062.

The spelling of 18714180 in words is "eighteen million, seven hundred fourteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 71 92 115 138 142 191 213 230 276 284 345 355 382 426 460 573 690 710 764 852 955 1065 1146 1380 1420 1633 1910 2130 2292 2865 3266 3820 4260 4393 4899 5730 6532 8165 8786 9798 11460 13179 13561 16330 17572 19596 21965 24495 26358 27122 32660 40683 43930 48990 52716 54244 65895 67805 81366 87860 97980 131790 135610 162732 203415 263580 271220 311903 406830 623806 813660 935709 1247612 1559515 1871418 3119030 3742836 4678545 6238060 9357090 18714180