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18386145 = 3252973193
BaseRepresentation
bin100011000100…
…0110011100001
31021121010001100
41012020303201
514201324040
61454025013
7312164631
oct106106341
937533040
1018386145
11a418868
1261a8169
133a6999b
1426286c1
151932b30
hex1188ce1

18386145 has 48 divisors (see below), whose sum is σ = 33593040. Its totient is φ = 9289728.

The previous prime is 18386107. The next prime is 18386149. The reversal of 18386145 is 54168381.

18386145 is a `hidden beast` number, since 1 + 8 + 38 + 614 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 467856 + 17918289 = 684^2 + 4233^2 .

It is not a de Polignac number, because 18386145 - 28 = 18385889 is a prime.

It is a super-2 number, since 2×183861452 = 676100655922050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18386149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95169 + ... + 95361.

It is an arithmetic number, because the mean of its divisors is an integer number (699855).

Almost surely, 218386145 is an apocalyptic number.

18386145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18386145 is a deficient number, since it is larger than the sum of its proper divisors (15206895).

18386145 is a wasteful number, since it uses less digits than its factorization.

18386145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 303 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 18386145 is about 4287.9068320102. The cubic root of 18386145 is about 263.9349443696.

The spelling of 18386145 in words is "eighteen million, three hundred eighty-six thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 29 45 73 87 145 193 219 261 365 435 579 657 965 1095 1305 1737 2117 2895 3285 5597 6351 8685 10585 14089 16791 19053 27985 31755 42267 50373 70445 83955 95265 126801 211335 251865 408581 634005 1225743 2042905 3677229 6128715 18386145