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68869040 = 2451779641
BaseRepresentation
bin1000001101011…
…01101110110000
311210120220120012
410012231232300
5120112302130
610500034052
71464243242
oct406555660
9153526505
1068869040
1135969369
121b092928
1311363b16
14920a092
1560a5995
hex41adbb0

68869040 has 80 divisors (see below), whose sum is σ = 171953280. Its totient is φ = 25559040.

The previous prime is 68869039. The next prime is 68869043. The reversal of 68869040 is 4096886.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (68869043) 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, 107120 + ... + 107760.

It is an arithmetic number, because the mean of its divisors is an integer number (2149416).

Almost surely, 268869040 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 68869040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85976640).

68869040 is an abundant number, since it is smaller than the sum of its proper divisors (103084240).

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

68869040 is a wasteful number, since it uses less digits than its factorization.

68869040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 68869040 is about 8298.7372533416. The cubic root of 68869040 is about 409.8969401881.

The spelling of 68869040 in words is "sixty-eight million, eight hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 79 80 85 136 158 170 272 316 340 395 632 641 680 790 1264 1282 1343 1360 1580 2564 2686 3160 3205 5128 5372 6320 6410 6715 10256 10744 10897 12820 13430 21488 21794 25640 26860 43588 50639 51280 53720 54485 87176 101278 107440 108970 174352 202556 217940 253195 405112 435880 506390 810224 860863 871760 1012780 1721726 2025560 3443452 4051120 4304315 6886904 8608630 13773808 17217260 34434520 68869040