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18040512 = 263731433
BaseRepresentation
bin100010011010…
…0011011000000
31020221112221010
41010310123000
514104244022
61442400520
7306225150
oct104643300
936845833
1018040512
11a202116
126060140
133978579
142578760
1518b550c
hex11346c0

18040512 has 112 divisors (see below), whose sum is σ = 56440832. Its totient is φ = 4976640.

The previous prime is 18040507. The next prime is 18040513. The reversal of 18040512 is 21504081.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (18040513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41448 + ... + 41880.

It is an arithmetic number, because the mean of its divisors is an integer number (503936).

Almost surely, 218040512 is an apocalyptic number.

18040512 is a gapful number since it is divisible by the number (12) 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 18040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28220416).

18040512 is an abundant number, since it is smaller than the sum of its proper divisors (38400320).

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

18040512 is a wasteful number, since it uses less digits than its factorization.

18040512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 18040512 is about 4247.4123887374. The cubic root of 18040512 is about 262.2706059442.

Adding to 18040512 its reverse (21504081), we get a palindrome (39544593).

The spelling of 18040512 in words is "eighteen million, forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 433 434 448 496 651 672 744 866 868 992 1299 1302 1344 1488 1732 1736 1984 2598 2604 2976 3031 3464 3472 5196 5208 5952 6062 6928 6944 9093 10392 10416 12124 13423 13856 13888 18186 20784 20832 24248 26846 27712 36372 40269 41568 41664 48496 53692 72744 80538 83136 93961 96992 107384 145488 161076 187922 193984 214768 281883 290976 322152 375844 429536 563766 581952 644304 751688 859072 1127532 1288608 1503376 2255064 2577216 3006752 4510128 6013504 9020256 18040512