Search a number
-
+
67833128 = 23111745343
BaseRepresentation
bin1000000101100…
…00110100101000
311201122021120002
410002300310220
5114331130003
610421522132
71452400136
oct402606450
9151567502
1067833128
1135321040
121a873348
131109045c
14901a756
155e4da88
hex40b0d28

67833128 has 32 divisors (see below), whose sum is σ = 146914560. Its totient is φ = 29018880.

The previous prime is 67833121. The next prime is 67833169. The reversal of 67833128 is 82133876.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 67833091 and 67833100.

It is not an unprimeable number, because it can be changed into a prime (67833121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21176 + ... + 24167.

It is an arithmetic number, because the mean of its divisors is an integer number (4591080).

Almost surely, 267833128 is an apocalyptic number.

67833128 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

67833128 is an abundant number, since it is smaller than the sum of its proper divisors (79081432).

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

67833128 is a wasteful number, since it uses less digits than its factorization.

67833128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45377 (or 45373 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 67833128 is about 8236.0869349467. The cubic root of 67833128 is about 407.8313573181.

The spelling of 67833128 in words is "sixty-seven million, eight hundred thirty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1496 45343 90686 181372 362744 498773 770831 997546 1541662 1995092 3083324 3990184 6166648 8479141 16958282 33916564 67833128