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18076968 = 23327133189
BaseRepresentation
bin100010011110…
…1010100101000
31021000101221100
41010331110220
514111430333
61443241400
7306436350
oct104752450
937011840
1018076968
11a227548
126079260
13398c040
142587b60
1518c1213
hex113d528

18076968 has 192 divisors, whose sum is σ = 62899200. Its totient is φ = 4561920.

The previous prime is 18076963. The next prime is 18076969. The reversal of 18076968 is 86967081.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18076963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203068 + ... + 203156.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 218076968 is an apocalyptic number.

18076968 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 18076968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

18076968 is an abundant number, since it is smaller than the sum of its proper divisors (44822232).

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

18076968 is a wasteful number, since it uses less digits than its factorization.

18076968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 18076968 is about 4251.7017769359. The cubic root of 18076968 is about 262.4471512655.

It can be divided in two parts, 18076 and 968, that added together give a square (19044 = 1382).

The spelling of 18076968 in words is "eighteen million, seventy-six thousand, nine hundred sixty-eight".