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18125235 = 335316171
BaseRepresentation
bin100010100100…
…1000110110011
31021002212011000
41011021012303
514120001420
61444253043
7310030152
oct105110663
937085130
1018125235
11a25a837
1260a1183
1339a7cbb
14259b599
1518d0690
hex11491b3

18125235 has 64 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 9072000.

The previous prime is 18125201. The next prime is 18125251. The reversal of 18125235 is 53252181.

It is a happy number.

It is not a de Polignac number, because 18125235 - 28 = 18124979 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18125199 and 18125208.

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 63 ways as a sum of consecutive naturals, for example, 255250 + ... + 255320.

It is an arithmetic number, because the mean of its divisors is an integer number (535680).

Almost surely, 218125235 is an apocalyptic number.

18125235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18125235 is a deficient number, since it is larger than the sum of its proper divisors (16158285).

18125235 is a wasteful number, since it uses less digits than its factorization.

18125235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 18125235 is about 4257.3741907425. The cubic root of 18125235 is about 262.6805288778.

The spelling of 18125235 in words is "eighteen million, one hundred twenty-five thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 27 31 45 61 71 93 135 155 183 213 279 305 355 465 549 639 837 915 1065 1395 1647 1891 1917 2201 2745 3195 4185 4331 5673 6603 8235 9455 9585 11005 12993 17019 19809 21655 28365 33015 38979 51057 59427 64965 85095 99045 116937 134261 194895 255285 297135 402783 584685 671305 1208349 2013915 3625047 6041745 18125235