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18094128 = 24313107271
BaseRepresentation
bin100010100000…
…1100000110000
31021001021110220
41011001200300
514113003003
61443453040
7306540363
oct105014060
937037426
1018094128
11a239428
126087180
133996ab0
1425900da
1518c6353
hex1141830

18094128 has 80 divisors (see below), whose sum is σ = 50996736. Its totient is φ = 5495040.

The previous prime is 18094121. The next prime is 18094129. The reversal of 18094128 is 82149081.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (18094121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66633 + ... + 66903.

Almost surely, 218094128 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 18094128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25498368).

18094128 is an abundant number, since it is smaller than the sum of its proper divisors (32902608).

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

18094128 is a wasteful number, since it uses less digits than its factorization.

18094128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 18094128 is about 4253.7193137300. The cubic root of 18094128 is about 262.5301697750.

The spelling of 18094128 in words is "eighteen million, ninety-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 208 214 271 312 321 428 542 624 642 813 856 1084 1284 1391 1626 1712 2168 2568 2782 3252 3523 4173 4336 5136 5564 6504 7046 8346 10569 11128 13008 14092 16692 21138 22256 28184 28997 33384 42276 56368 57994 66768 84552 86991 115988 169104 173982 231976 347964 376961 463952 695928 753922 1130883 1391856 1507844 2261766 3015688 4523532 6031376 9047064 18094128