Search a number
-
+
18198912 = 27383571
BaseRepresentation
bin100010101101…
…1000110000000
31021020121012210
41011123012000
514124331122
61450022120
7310455024
oct105330600
937217183
1018198912
11a300126
126117940
133a026b4
1425ba384
1518e740c
hex115b180

18198912 has 64 divisors (see below), whose sum is σ = 49008960. Its totient is φ = 5982720.

The previous prime is 18198899. The next prime is 18198937. The reversal of 18198912 is 21989181.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31587 + ... + 32157.

It is an arithmetic number, because the mean of its divisors is an integer number (765765).

Almost surely, 218198912 is an apocalyptic number.

18198912 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 18198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24504480).

18198912 is an abundant number, since it is smaller than the sum of its proper divisors (30810048).

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

18198912 is an equidigital number, since it uses as much as digits as its factorization.

18198912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 659 counting only the distinct ones).

The product of its digits is 10368, while the sum is 39.

The square root of 18198912 is about 4266.0182840677. The cubic root of 18198912 is about 263.0359697703.

It can be divided in two parts, 18198 and 912, that added together give a triangular number (19110 = T195).

The spelling of 18198912 in words is "eighteen million, one hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 571 664 996 1142 1328 1713 1992 2284 2656 3426 3984 4568 5312 6852 7968 9136 10624 13704 15936 18272 27408 31872 36544 47393 54816 73088 94786 109632 142179 189572 219264 284358 379144 568716 758288 1137432 1516576 2274864 3033152 4549728 6066304 9099456 18198912