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18031728 = 24311133771
BaseRepresentation
bin100010011001…
…0010001110000
31020221002212210
41010302101300
514104003403
61442252120
7306160431
oct104622160
936832783
1018031728
11a1a6560
126057040
133974580
142575488
1518b2b03
hex1132470

18031728 has 160 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 4838400.

The previous prime is 18031721. The next prime is 18031729. The reversal of 18031728 is 82713081.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18031695 and 18031704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18031721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253933 + ... + 254003.

Almost surely, 218031728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18031728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

18031728 is an abundant number, since it is smaller than the sum of its proper divisors (38964624).

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

18031728 is a wasteful number, since it uses less digits than its factorization.

18031728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 18031728 is about 4246.3782214965. The cubic root of 18031728 is about 262.2280321523.

The spelling of 18031728 in words is "eighteen million, thirty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 37 39 44 48 52 66 71 74 78 88 104 111 132 142 143 148 156 176 208 213 222 264 284 286 296 312 407 426 429 444 481 528 568 572 592 624 781 814 852 858 888 923 962 1136 1144 1221 1443 1562 1628 1704 1716 1776 1846 1924 2288 2343 2442 2627 2769 2886 3124 3256 3408 3432 3692 3848 4686 4884 5254 5291 5538 5772 6248 6512 6864 7384 7696 7881 9372 9768 10153 10508 10582 11076 11544 12496 14768 15762 15873 18744 19536 20306 21016 21164 22152 23088 28897 30459 31524 31746 34151 37488 40612 42032 42328 44304 57794 60918 63048 63492 68302 81224 84656 86691 102453 115588 121836 126096 126984 136604 162448 173382 204906 231176 243672 253968 273208 346764 375661 409812 462352 487344 546416 693528 751322 819624 1126983 1387056 1502644 1639248 2253966 3005288 4507932 6010576 9015864 18031728