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68406832 = 2413311032
BaseRepresentation
bin1000001001111…
…00111000110000
311202201102112101
410010330320300
5120003004312
610442110144
71460306554
oct404747060
9152642471
1068406832
113568307a
121aaab354
1311231620
149129864
156013a57
hex413ce30

68406832 has 60 divisors (see below), whose sum is σ = 148782144. Its totient is φ = 30257280.

The previous prime is 68406829. The next prime is 68406869. The reversal of 68406832 is 23860486.

It is a junction number, because it is equal to n+sod(n) for n = 68406791 and 68406800.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 664093 + ... + 664195.

Almost surely, 268406832 is an apocalyptic number.

68406832 is a gapful number since it is divisible by the number (62) 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 68406832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74391072).

68406832 is an abundant number, since it is smaller than the sum of its proper divisors (80375312).

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

68406832 is a wasteful number, since it uses less digits than its factorization.

68406832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 68406832 is about 8270.8422787525. The cubic root of 68406832 is about 408.9778863110.

The spelling of 68406832 in words is "sixty-eight million, four hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 52 62 103 104 124 206 208 248 403 412 496 806 824 1339 1612 1648 2678 3193 3224 5356 6386 6448 10609 10712 12772 21218 21424 25544 41509 42436 51088 83018 84872 137917 166036 169744 275834 328879 332072 551668 657758 664144 1103336 1315516 2206672 2631032 4275427 5262064 8550854 17101708 34203416 68406832