Search a number
-
+
68744280 = 233511192741
BaseRepresentation
bin1000001100011…
…11010001011000
311210100120102110
410012033101120
5120044304110
610453232320
71463213433
oct406172130
9153316373
1068744280
1135893660
121b0326a0
131131c0b7
1491b681a
15607da20
hex418f458

68744280 has 128 divisors (see below), whose sum is σ = 236908800. Its totient is φ = 15782400.

The previous prime is 68744231. The next prime is 68744281. The reversal of 68744280 is 8244786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68744281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23710 + ... + 26450.

It is an arithmetic number, because the mean of its divisors is an integer number (1850850).

Almost surely, 268744280 is an apocalyptic number.

68744280 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 68744280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118454400).

68744280 is an abundant number, since it is smaller than the sum of its proper divisors (168164520).

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

68744280 is a wasteful number, since it uses less digits than its factorization.

68744280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 68744280 is about 8291.2170397355. The cubic root of 68744280 is about 409.6492737303.

The spelling of 68744280 in words is "sixty-eight million, seven hundred forty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 2741 3135 4180 5016 5482 6270 8223 8360 10964 12540 13705 16446 21928 25080 27410 30151 32892 41115 52079 54820 60302 65784 82230 90453 104158 109640 120604 150755 156237 164460 180906 208316 241208 260395 301510 312474 328920 361812 416632 452265 520790 572869 603020 624948 723624 781185 904530 1041580 1145738 1206040 1249896 1562370 1718607 1809060 2083160 2291476 2864345 3124740 3437214 3618120 4582952 5728690 6249480 6874428 8593035 11457380 13748856 17186070 22914760 34372140 68744280