Search a number
-
+
68766320 = 24571923281
BaseRepresentation
bin1000001100101…
…00101001110000
311210101200122202
410012110221300
5120101010240
610453522332
71463334620
oct406245160
9153350582
1068766320
11358a9177
121b0433a8
131132913c
1491c0880
156085315
hex4194a70

68766320 has 160 divisors (see below), whose sum is σ = 201415680. Its totient is φ = 21288960.

The previous prime is 68766319. The next prime is 68766323. The reversal of 68766320 is 2366786.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68766323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244580 + ... + 244860.

It is an arithmetic number, because the mean of its divisors is an integer number (1258848).

Almost surely, 268766320 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 68766320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100707840).

68766320 is an abundant number, since it is smaller than the sum of its proper divisors (132649360).

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

68766320 is a wasteful number, since it uses less digits than its factorization.

68766320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 68766320 is about 8292.5460505203. The cubic root of 68766320 is about 409.6930480645.

The spelling of 68766320 in words is "sixty-eight million, seven hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 23 28 35 38 40 46 56 70 76 80 92 95 112 115 133 140 152 161 184 190 230 266 280 281 304 322 368 380 437 460 532 560 562 644 665 760 805 874 920 1064 1124 1288 1330 1405 1520 1610 1748 1840 1967 2128 2185 2248 2576 2660 2810 3059 3220 3496 3934 4370 4496 5320 5339 5620 6118 6440 6463 6992 7868 8740 9835 10640 10678 11240 12236 12880 12926 15295 15736 17480 19670 21356 22480 24472 25852 26695 30590 31472 32315 34960 37373 39340 42712 45241 48944 51704 53390 61180 64630 74746 78680 85424 90482 103408 106780 122360 122797 129260 149492 157360 180964 186865 213560 226205 244720 245594 258520 298984 361928 373730 427120 452410 491188 517040 597968 613985 723856 747460 859579 904820 982376 1227970 1494920 1719158 1809640 1964752 2455940 2989840 3438316 3619280 4297895 4911880 6876632 8595790 9823760 13753264 17191580 34383160 68766320