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18026112 = 2731323157
BaseRepresentation
bin100010011000…
…0111010000000
31020220211011210
41010300322000
514103313422
61442210120
7306135156
oct104607200
936824153
1018026112
11a1a2315
126053940
133971b50
1425733d6
1518b110c
hex1130e80

18026112 has 128 divisors (see below), whose sum is σ = 54149760. Its totient is φ = 5271552.

The previous prime is 18026087. The next prime is 18026123. The reversal of 18026112 is 21162081.

It is a tau number, because it is divible by the number of its divisors (128).

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, 114738 + ... + 114894.

It is an arithmetic number, because the mean of its divisors is an integer number (423045).

Almost surely, 218026112 is an apocalyptic number.

18026112 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 18026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27074880).

18026112 is an abundant number, since it is smaller than the sum of its proper divisors (36123648).

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

18026112 is a wasteful number, since it uses less digits than its factorization.

18026112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 18026112 is about 4245.7169005952. The cubic root of 18026112 is about 262.2008055966.

Adding to 18026112 its reverse (21162081), we get a palindrome (39188193).

The spelling of 18026112 in words is "eighteen million, twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 157 184 192 208 276 299 312 314 368 384 416 471 552 598 624 628 736 832 897 942 1104 1196 1248 1256 1472 1664 1794 1884 2041 2208 2392 2496 2512 2944 3588 3611 3768 4082 4416 4784 4992 5024 6123 7176 7222 7536 8164 8832 9568 10048 10833 12246 14352 14444 15072 16328 19136 20096 21666 24492 28704 28888 30144 32656 38272 43332 46943 48984 57408 57776 60288 65312 86664 93886 97968 114816 115552 130624 140829 173328 187772 195936 231104 261248 281658 346656 375544 391872 462208 563316 693312 751088 783744 1126632 1386624 1502176 2253264 3004352 4506528 6008704 9013056 18026112