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18506345 = 5112132181
BaseRepresentation
bin100011010011…
…0001001101001
31021211012221012
41012212021221
514214200340
61500353305
7313205234
oct106461151
937735835
1018506345
11a4a0100
126245835
133aac600
14265a41b
151958565
hex11a6269

18506345 has 36 divisors (see below), whose sum is σ = 26578188. Its totient is φ = 12355200.

The previous prime is 18506309. The next prime is 18506351. The reversal of 18506345 is 54360581.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9554281 + 8952064 = 3091^2 + 2992^2 .

It is not a de Polignac number, because 18506345 - 224 = 1729129 is a prime.

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 35 ways as a sum of consecutive naturals, for example, 102155 + ... + 102335.

It is an arithmetic number, because the mean of its divisors is an integer number (738283).

Almost surely, 218506345 is an apocalyptic number.

It is an amenable number.

18506345 is a deficient number, since it is larger than the sum of its proper divisors (8071843).

18506345 is a wasteful number, since it uses less digits than its factorization.

18506345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 18506345 is about 4301.9001615565. The cubic root of 18506345 is about 264.5088565186.

The spelling of 18506345 in words is "eighteen million, five hundred six thousand, three hundred forty-five".

Divisors: 1 5 11 13 55 65 121 143 169 181 605 715 845 905 1573 1859 1991 2353 7865 9295 9955 11765 20449 21901 25883 30589 102245 109505 129415 152945 284713 336479 1423565 1682395 3701269 18506345