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68179320 = 23345111913
BaseRepresentation
bin1000001000001…
…01010101111000
311202021212110000
410010011111320
5114423214240
610433153000
71455341346
oct404052570
9152255400
1068179320
1135538150
121a9bb760
1311181bc1
1490aa996
155ebb430
hex4105578

68179320 has 160 divisors (see below), whose sum is σ = 250121520. Its totient is φ = 16519680.

The previous prime is 68179313. The next prime is 68179327. The reversal of 68179320 is 2397186.

It is an interprime number because it is at equal distance from previous prime (68179313) and next prime (68179327).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68179327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34684 + ... + 36596.

Almost surely, 268179320 is an apocalyptic number.

68179320 is a gapful number since it is divisible by the number (60) 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 68179320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125060760).

68179320 is an abundant number, since it is smaller than the sum of its proper divisors (181942200).

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

68179320 is a wasteful number, since it uses less digits than its factorization.

68179320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 68179320 is about 8257.0769646407. The cubic root of 68179320 is about 408.5239807602.

The spelling of 68179320 in words is "sixty-eight million, one hundred seventy-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1913 1980 2376 2970 3240 3564 3826 3960 4455 5739 5940 7128 7652 8910 9565 11478 11880 15304 17217 17820 19130 21043 22956 28695 34434 35640 38260 42086 45912 51651 57390 63129 68868 76520 84172 86085 103302 105215 114780 126258 137736 154953 168344 172170 189387 206604 210430 229560 252516 258255 309906 315645 344340 378774 413208 420860 505032 516510 568161 619812 631290 688680 757548 774765 841720 946935 1033020 1136322 1239624 1262580 1515096 1549530 1704483 1893870 2066040 2272644 2525160 2840805 3099060 3408966 3787740 4545288 5681610 6198120 6817932 7575480 8522415 11363220 13635864 17044830 22726440 34089660 68179320