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18683406 = 2337223307
BaseRepresentation
bin100011101000…
…1011000001110
31022011012211000
41013101120032
514240332111
61504241130
7314543400
oct107213016
938135730
1018683406
11a601135
1263101a6
133b42091
1426a4b70
151990c56
hex11d160e

18683406 has 96 divisors (see below), whose sum is σ = 50561280. Its totient is φ = 5089392.

The previous prime is 18683389. The next prime is 18683411. The reversal of 18683406 is 60438681.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 60705 + ... + 61011.

It is an arithmetic number, because the mean of its divisors is an integer number (526680).

Almost surely, 218683406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18683406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280640).

18683406 is an abundant number, since it is smaller than the sum of its proper divisors (31877874).

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

18683406 is a wasteful number, since it uses less digits than its factorization.

18683406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 18683406 is about 4322.4305662440. The cubic root of 18683406 is about 265.3497506038.

The spelling of 18683406 in words is "eighteen million, six hundred eighty-three thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 49 54 63 69 98 126 138 147 161 189 207 294 307 322 378 414 441 483 614 621 882 921 966 1127 1242 1323 1449 1842 2149 2254 2646 2763 2898 3381 4298 4347 5526 6447 6762 7061 8289 8694 10143 12894 14122 15043 16578 19341 20286 21183 30086 30429 38682 42366 45129 49427 58023 60858 63549 90258 98854 116046 127098 135387 148281 190647 270774 296562 345989 381294 406161 444843 691978 812322 889686 1037967 1334529 2075934 2669058 3113901 6227802 9341703 18683406