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18760014 = 2327132881
BaseRepresentation
bin100011110010…
…0000101001110
31022022002220100
41013210011032
514300310024
61510031530
7315312630
oct107440516
938262810
1018760014
11a653749
1263485a6
133b6ac00
1426c4a50
1519a87c9
hex11e414e

18760014 has 72 divisors (see below), whose sum is σ = 50358672. Its totient is φ = 4942080.

The previous prime is 18760009. The next prime is 18760031. The reversal of 18760014 is 41006781.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 18760014.

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, 20854 + ... + 21734.

It is an arithmetic number, because the mean of its divisors is an integer number (699426).

Almost surely, 218760014 is an apocalyptic number.

18760014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18760014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25179336).

18760014 is an abundant number, since it is smaller than the sum of its proper divisors (31598658).

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

18760014 is a wasteful number, since it uses less digits than its factorization.

18760014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 18760014 is about 4331.2831816911. The cubic root of 18760014 is about 265.7119292690.

Adding to 18760014 its reverse (41006781), we get a palindrome (59766795).

The spelling of 18760014 in words is "eighteen million, seven hundred sixty thousand, fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 881 1014 1183 1521 1638 1762 2366 2643 3042 3549 5286 6167 7098 7929 10647 11453 12334 15858 18501 21294 22906 34359 37002 55503 68718 80171 103077 111006 148889 160342 206154 240513 297778 446667 481026 721539 893334 1042223 1340001 1443078 2084446 2680002 3126669 6253338 9380007 18760014