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18055872 = 263843
BaseRepresentation
bin100010011100…
…0001011000000
31020222100000000
41010320023000
514110241442
61443000000
7306321012
oct104701300
936870000
1018055872
11a21270a
126069000
133982563
1425801b2
1518b9d4c
hex11382c0

18055872 has 126 divisors (see below), whose sum is σ = 54991508. Its totient is φ = 5878656.

The previous prime is 18055859. The next prime is 18055879. The reversal of 18055872 is 27855081.

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

It is not an unprimeable number, because it can be changed into a prime (18055879) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419883 + ... + 419925.

Almost surely, 218055872 is an apocalyptic number.

18055872 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 18055872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27495754).

18055872 is an abundant number, since it is smaller than the sum of its proper divisors (36935636).

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

18055872 is an frugal number, since it uses more digits than its factorization.

18055872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 18055872 is about 4249.2201637477. The cubic root of 18055872 is about 262.3450187204.

The spelling of 18055872 in words is "eighteen million, fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 129 144 162 172 192 216 243 258 288 324 344 387 432 486 516 576 648 688 729 774 864 972 1032 1161 1296 1376 1458 1548 1728 1944 2064 2187 2322 2592 2752 2916 3096 3483 3888 4128 4374 4644 5184 5832 6192 6561 6966 7776 8256 8748 9288 10449 11664 12384 13122 13932 15552 17496 18576 20898 23328 24768 26244 27864 31347 34992 37152 41796 46656 52488 55728 62694 69984 74304 83592 94041 104976 111456 125388 139968 167184 188082 209952 222912 250776 282123 334368 376164 419904 501552 564246 668736 752328 1003104 1128492 1504656 2006208 2256984 3009312 4513968 6018624 9027936 18055872