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18128016 = 2433291447
BaseRepresentation
bin100010100100…
…1110010010000
31021002222222000
41011021302100
514120044031
61444314000
7310041234
oct105116220
937088860
1018128016
11a261935
1260a2900
1339a934a
14259c5c4
1518d13e6
hex1149c90

18128016 has 80 divisors (see below), whose sum is σ = 53865600. Its totient is φ = 5830272.

The previous prime is 18127997. The next prime is 18128023. The reversal of 18128016 is 61082181.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11805 + ... + 13251.

It is an arithmetic number, because the mean of its divisors is an integer number (673320).

Almost surely, 218128016 is an apocalyptic number.

18128016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18128016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26932800).

18128016 is an abundant number, since it is smaller than the sum of its proper divisors (35737584).

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

18128016 is a wasteful number, since it uses less digits than its factorization.

18128016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 18128016 is about 4257.7007879840. The cubic root of 18128016 is about 262.6939627669.

The spelling of 18128016 in words is "eighteen million, one hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1447 1566 2088 2894 3132 4176 4341 5788 6264 8682 11576 12528 13023 17364 23152 26046 34728 39069 41963 52092 69456 78138 83926 104184 125889 156276 167852 208368 251778 312552 335704 377667 503556 625104 671408 755334 1007112 1133001 1510668 2014224 2266002 3021336 4532004 6042672 9064008 18128016