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68405184 = 26321031153
BaseRepresentation
bin1000001001111…
…00011111000000
311202201100021100
410010330133000
5120002431214
610442054400
71460302011
oct404743700
9152640240
1068405184
1135681911
121aaaa400
1311230953
149129008
156013309
hex413c7c0

68405184 has 84 divisors (see below), whose sum is σ = 198146416. Its totient is φ = 22560768.

The previous prime is 68405177. The next prime is 68405203. The reversal of 68405184 is 48150486.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 58752 + ... + 59904.

Almost surely, 268405184 is an apocalyptic number.

68405184 is a gapful number since it is divisible by the number (64) 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 68405184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99073208).

68405184 is an abundant number, since it is smaller than the sum of its proper divisors (129741232).

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

68405184 is a wasteful number, since it uses less digits than its factorization.

68405184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 68405184 is about 8270.7426510562. The cubic root of 68405184 is about 408.9746020340.

The spelling of 68405184 in words is "sixty-eight million, four hundred five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 144 192 206 288 309 412 576 618 824 927 1153 1236 1648 1854 2306 2472 3296 3459 3708 4612 4944 6592 6918 7416 9224 9888 10377 13836 14832 18448 19776 20754 27672 29664 36896 41508 55344 59328 73792 83016 110688 118759 166032 221376 237518 332064 356277 475036 664128 712554 950072 1068831 1425108 1900144 2137662 2850216 3800288 4275324 5700432 7600576 8550648 11400864 17101296 22801728 34202592 68405184