Search a number
-
+
18394128 = 24361983
BaseRepresentation
bin100011000101…
…0110000010000
31021121112000000
41012022300100
514202103003
61454130000
7312230124
oct106126020
937545000
1018394128
11a423865
1261b0900
133a704cc
14262b584
1519351a3
hex118ac10

18394128 has 140 divisors (see below), whose sum is σ = 56923440. Its totient is φ = 5738688.

The previous prime is 18394121. The next prime is 18394133. The reversal of 18394128 is 82149381.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (13824) is a multiple of the sum of its prime factors (128).

It is a junction number, because it is equal to n+sod(n) for n = 18394092 and 18394101.

It is not an unprimeable number, because it can be changed into a prime (18394121) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 221575 + ... + 221657.

It is an arithmetic number, because the mean of its divisors is an integer number (406596).

Almost surely, 218394128 is an apocalyptic number.

18394128 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 18394128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28461720).

18394128 is an abundant number, since it is smaller than the sum of its proper divisors (38529312).

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

18394128 is an equidigital number, since it uses as much as digits as its factorization.

18394128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

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

The square root of 18394128 is about 4288.8376047596. The cubic root of 18394128 is about 263.9731377627.

The spelling of 18394128 in words is "eighteen million, three hundred ninety-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 83 108 114 144 152 162 166 171 216 228 243 249 304 324 332 342 432 456 486 498 513 648 664 684 729 747 912 972 996 1026 1296 1328 1368 1458 1494 1539 1577 1944 1992 2052 2241 2736 2916 2988 3078 3154 3888 3984 4104 4482 4617 4731 5832 5976 6156 6308 6723 8208 8964 9234 9462 11664 11952 12312 12616 13446 13851 14193 17928 18468 18924 20169 24624 25232 26892 27702 28386 35856 36936 37848 40338 42579 53784 55404 56772 60507 73872 75696 80676 85158 107568 110808 113544 121014 127737 161352 170316 221616 227088 242028 255474 322704 340632 383211 484056 510948 681264 766422 968112 1021896 1149633 1532844 2043792 2299266 3065688 4598532 6131376 9197064 18394128