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18068127 = 37111743107
BaseRepresentation
bin100010011101…
…1001010011111
31020222221210220
41010323022133
514111140002
61443132423
7306401520
oct104731237
936887726
1018068127
11a220940
126074113
133987ccc
142584847
1518bd7bc
hex113b29f

18068127 has 64 divisors (see below), whose sum is σ = 32845824. Its totient is φ = 8547840.

The previous prime is 18068033. The next prime is 18068137. The reversal of 18068127 is 72186081.

It is a happy number.

It is not a de Polignac number, because 18068127 - 27 = 18067999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

18068127 is a modest number, since divided by 8127 gives 1806 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18068137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168808 + ... + 168914.

It is an arithmetic number, because the mean of its divisors is an integer number (513216).

Almost surely, 218068127 is an apocalyptic number.

18068127 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

18068127 is a deficient number, since it is larger than the sum of its proper divisors (14777697).

18068127 is a wasteful number, since it uses less digits than its factorization.

18068127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188.

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 18068127 is about 4250.6619484499. The cubic root of 18068127 is about 262.4043588084.

The spelling of 18068127 in words is "eighteen million, sixty-eight thousand, one hundred twenty-seven".

Divisors: 1 3 7 11 17 21 33 43 51 77 107 119 129 187 231 301 321 357 473 561 731 749 903 1177 1309 1419 1819 2193 2247 3311 3531 3927 4601 5117 5457 8041 8239 9933 12733 13803 15351 20009 24123 24717 32207 38199 50611 56287 60027 78217 96621 140063 151833 168861 234651 354277 420189 547519 860387 1062831 1642557 2581161 6022709 18068127