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68868384 = 25313139397
BaseRepresentation
bin1000001101011…
…01100100100000
311210120212122220
410012231210200
5120112242014
610500031040
71464241314
oct406554440
9153525586
1068868384
1135968922
121b092480
1311363730
149209b44
1560a56a9
hex41ad920

68868384 has 96 divisors (see below), whose sum is σ = 196580160. Its totient is φ = 20984832.

The previous prime is 68868313. The next prime is 68868409. The reversal of 68868384 is 48386886.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173274 + ... + 173670.

It is an arithmetic number, because the mean of its divisors is an integer number (2047710).

Almost surely, 268868384 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 68868384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98290080).

68868384 is an abundant number, since it is smaller than the sum of its proper divisors (127711776).

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

68868384 is a wasteful number, since it uses less digits than its factorization.

68868384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 68868384 is about 8298.6977291621. The cubic root of 68868384 is about 409.8956387168.

The spelling of 68868384 in words is "sixty-eight million, eight hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 139 156 208 278 312 397 416 417 556 624 794 834 1112 1191 1248 1588 1668 1807 2224 2382 3176 3336 3614 4448 4764 5161 5421 6352 6672 7228 9528 10322 10842 12704 13344 14456 15483 19056 20644 21684 28912 30966 38112 41288 43368 55183 57824 61932 82576 86736 110366 123864 165152 165549 173472 220732 247728 331098 441464 495456 662196 717379 882928 1324392 1434758 1765856 2152137 2648784 2869516 4304274 5297568 5739032 8608548 11478064 17217096 22956128 34434192 68868384