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18040968 = 2334112531
BaseRepresentation
bin100010011010…
…0100010001000
31020221120120000
41010310202020
514104302333
61442403000
7306226401
oct104644210
936846500
1018040968
11a2024a0
126060460
13397883a
1425789a8
1518b5713
hex1134888

18040968 has 80 divisors (see below), whose sum is σ = 55146960. Its totient is φ = 5464800.

The previous prime is 18040931. The next prime is 18040969. The reversal of 18040968 is 86904081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (18040969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5863 + ... + 8393.

It is an arithmetic number, because the mean of its divisors is an integer number (689337).

Almost surely, 218040968 is an apocalyptic number.

18040968 is a gapful number since it is divisible by the number (18) 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 18040968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27573480).

18040968 is an abundant number, since it is smaller than the sum of its proper divisors (37105992).

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

18040968 is a wasteful number, since it uses less digits than its factorization.

18040968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18040968 is about 4247.4660681399. The cubic root of 18040968 is about 262.2728156818.

The spelling of 18040968 in words is "eighteen million, forty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 2531 3564 5062 7128 7593 10124 15186 20248 22779 27841 30372 45558 55682 60744 68337 83523 91116 111364 136674 167046 182232 205011 222728 250569 273348 334092 410022 501138 546696 668184 751707 820044 1002276 1503414 1640088 2004552 2255121 3006828 4510242 6013656 9020484 18040968