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68147088 = 24343137241
BaseRepresentation
bin1000000111111…
…01011110010000
311202020020020020
410003331132100
5114421201323
610432343440
71455145362
oct403753620
9152206206
1068147088
1135515a09
121a9a4b80
1311170329
14909cd32
155eb1ae3
hex40fd790

68147088 has 80 divisors (see below), whose sum is σ = 182208576. Its totient is φ = 21934080.

The previous prime is 68147077. The next prime is 68147089. The reversal of 68147088 is 88074186.

It is not an unprimeable number, because it can be changed into a prime (68147089) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 282648 + ... + 282888.

Almost surely, 268147088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68147088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91104288).

68147088 is an abundant number, since it is smaller than the sum of its proper divisors (114061488).

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

68147088 is a wasteful number, since it uses less digits than its factorization.

68147088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 68147088 is about 8255.1249536273. The cubic root of 68147088 is about 408.4595935897.

The spelling of 68147088 in words is "sixty-eight million, one hundred forty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 137 172 241 258 274 344 411 482 516 548 688 723 822 964 1032 1096 1446 1644 1928 2064 2192 2892 3288 3856 5784 5891 6576 10363 11568 11782 17673 20726 23564 31089 33017 35346 41452 47128 62178 66034 70692 82904 94256 99051 124356 132068 141384 165808 198102 248712 264136 282768 396204 497424 528272 792408 1419731 1584816 2839462 4259193 5678924 8518386 11357848 17036772 22715696 34073544 68147088