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18055968 = 253797277
BaseRepresentation
bin100010011100…
…0001100100000
31020222100010120
41010320030200
514110242333
61443000240
7306321210
oct104701440
936870116
1018055968
11a212797
126069080
133982608
142580240
1518b9db3
hex1138320

18055968 has 96 divisors (see below), whose sum is σ = 54923904. Its totient is φ = 5087232.

The previous prime is 18055927. The next prime is 18055993. The reversal of 18055968 is 86955081.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 65046 + ... + 65322.

It is an arithmetic number, because the mean of its divisors is an integer number (572124).

Almost surely, 218055968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18055968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27461952).

18055968 is an abundant number, since it is smaller than the sum of its proper divisors (36867936).

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

18055968 is a wasteful number, since it uses less digits than its factorization.

18055968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 18055968 is about 4249.2314599231. The cubic root of 18055968 is about 262.3454836675.

The spelling of 18055968 in words is "eighteen million, fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 97 112 168 194 224 277 291 336 388 554 582 672 679 776 831 1108 1164 1358 1552 1662 1939 2037 2216 2328 2716 3104 3324 3878 4074 4432 4656 5432 5817 6648 7756 8148 8864 9312 10864 11634 13296 15512 16296 21728 23268 26592 26869 31024 32592 46536 53738 62048 65184 80607 93072 107476 161214 186144 188083 214952 322428 376166 429904 564249 644856 752332 859808 1128498 1289712 1504664 2256996 2579424 3009328 4513992 6018656 9027984 18055968