Search a number
-
+
68810040 = 2333513329
BaseRepresentation
bin1000001100111…
…11010100111000
311210110220122000
410012133110320
5120103410130
610454501000
71463606235
oct406372470
9153426560
1068810040
1135929002
121b064760
1311343000
1491d278c
156093260
hex419f538

68810040 has 256 divisors, whose sum is σ = 257040000. Its totient is φ = 16353792.

The previous prime is 68810029. The next prime is 68810057. The reversal of 68810040 is 4001886.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 68809986 and 68810013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2372746 + ... + 2372774.

Almost surely, 268810040 is an apocalyptic number.

68810040 is a gapful number since it is divisible by the number (60) 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 68810040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520000).

68810040 is an abundant number, since it is smaller than the sum of its proper divisors (188229960).

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

68810040 is a wasteful number, since it uses less digits than its factorization.

68810040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 68810040 is about 8295.1817339947. The cubic root of 68810040 is about 409.7798540544.

The spelling of 68810040 in words is "sixty-eight million, eight hundred ten thousand, forty".