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18181968 = 2437531021
BaseRepresentation
bin100010101011…
…0111101010000
31021012201222020
41011112331100
514123310333
61445411440
7310354440
oct105267520
937181866
1018181968
11a299422
126109b80
1339c7a7c
1425b4120
1518e23b3
hex1156f50

18181968 has 80 divisors (see below), whose sum is σ = 54746496. Its totient is φ = 5091840.

The previous prime is 18181967. The next prime is 18181981. The reversal of 18181968 is 86918181.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18181967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17298 + ... + 18318.

Almost surely, 218181968 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 18181968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27373248).

18181968 is an abundant number, since it is smaller than the sum of its proper divisors (36564528).

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

18181968 is a wasteful number, since it uses less digits than its factorization.

18181968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its digits is 27648, while the sum is 42.

The square root of 18181968 is about 4264.0318948150. The cubic root of 18181968 is about 262.9543116768.

The spelling of 18181968 in words is "eighteen million, one hundred eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1021 1113 1272 1484 2042 2226 2544 2968 3063 4084 4452 5936 6126 7147 8168 8904 12252 14294 16336 17808 21441 24504 28588 42882 49008 54113 57176 85764 108226 114352 162339 171528 216452 324678 343056 378791 432904 649356 757582 865808 1136373 1298712 1515164 2272746 2597424 3030328 4545492 6060656 9090984 18181968