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18121376 = 257313127
BaseRepresentation
bin100010100100…
…0001010100000
31021002122212002
41011020022200
514114341001
61444223132
7310013000
oct105101240
937078762
1018121376
11a257949
12609aaa8
1339a6310
14259a000
1518ce46b
hex11482a0

18121376 has 96 divisors (see below), whose sum is σ = 45158400. Its totient is φ = 7112448.

The previous prime is 18121351. The next prime is 18121387. The reversal of 18121376 is 67312181.

It is an unprimeable number.

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, 142625 + ... + 142751.

It is an arithmetic number, because the mean of its divisors is an integer number (470400).

Almost surely, 218121376 is an apocalyptic number.

18121376 is a gapful number since it is divisible by the number (16) 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 18121376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579200).

18121376 is an abundant number, since it is smaller than the sum of its proper divisors (27037024).

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

18121376 is a wasteful number, since it uses less digits than its factorization.

18121376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 18121376 is about 4256.9209529894. The cubic root of 18121376 is about 262.6618853290.

The spelling of 18121376 in words is "eighteen million, one hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 127 182 196 208 224 254 343 364 392 416 508 637 686 728 784 889 1016 1274 1372 1456 1568 1651 1778 2032 2548 2744 2912 3302 3556 4064 4459 5096 5488 6223 6604 7112 8918 10192 10976 11557 12446 13208 14224 17836 20384 23114 24892 26416 28448 35672 43561 46228 49784 52832 71344 80899 87122 92456 99568 142688 161798 174244 184912 199136 323596 348488 369824 566293 647192 696976 1132586 1294384 1393952 2265172 2588768 4530344 9060688 18121376