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68128896 = 273111272
BaseRepresentation
bin1000000111110…
…01000010000000
311202012022021110
410003321002000
5114420111041
610432123320
71455041343
oct403710200
9152168243
1068128896
1135503280
121a996540
1311164c74
14909645a
155eab516
hex40f9080

68128896 has 96 divisors (see below), whose sum is σ = 198985680. Its totient is φ = 20482560.

The previous prime is 68128891. The next prime is 68128913. The reversal of 68128896 is 69882186.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (68128891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536385 + ... + 536511.

Almost surely, 268128896 is an apocalyptic number.

68128896 is a gapful number since it is divisible by the number (66) 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 68128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99492840).

68128896 is an abundant number, since it is smaller than the sum of its proper divisors (130856784).

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

68128896 is a wasteful number, since it uses less digits than its factorization.

68128896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 143 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 68128896 is about 8254.0230191101. The cubic root of 68128896 is about 408.4232439894.

The spelling of 68128896 in words is "sixty-eight million, one hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 128 132 176 192 254 264 352 381 384 508 528 704 762 1016 1056 1397 1408 1524 2032 2112 2794 3048 4064 4191 4224 5588 6096 8128 8382 11176 12192 16129 16256 16764 22352 24384 32258 33528 44704 48387 48768 64516 67056 89408 96774 129032 134112 177419 178816 193548 258064 268224 354838 387096 516128 532257 536448 709676 774192 1032256 1064514 1419352 1548384 2064512 2129028 2838704 3096768 4258056 5677408 6193536 8516112 11354816 17032224 22709632 34064448 68128896