Search a number
-
+
68285340 = 223253491087
BaseRepresentation
bin1000001000111…
…11001110011100
311202111020212200
410010133032130
5114440112330
610435331500
71456262424
oct404371634
9152436780
1068285340
11355aa872
121aa50b90
13111bb236
1490d7484
155edca60
hex411f39c

68285340 has 72 divisors (see below), whose sum is σ = 207916800. Its totient is φ = 18140544.

The previous prime is 68285323. The next prime is 68285351. The reversal of 68285340 is 4358286.

68285340 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

68285340 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 68285295 and 68285304.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 62277 + ... + 63363.

Almost surely, 268285340 is an apocalyptic number.

68285340 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 68285340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103958400).

68285340 is an abundant number, since it is smaller than the sum of its proper divisors (139631460).

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

68285340 is a wasteful number, since it uses less digits than its factorization.

68285340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 68285340 is about 8263.4944182228. The cubic root of 68285340 is about 408.7356250030.

The spelling of 68285340 in words is "sixty-eight million, two hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 349 698 1047 1087 1396 1745 2094 2174 3141 3261 3490 4188 4348 5235 5435 6282 6522 6980 9783 10470 10870 12564 13044 15705 16305 19566 20940 21740 31410 32610 39132 48915 62820 65220 97830 195660 379363 758726 1138089 1517452 1896815 2276178 3414267 3793630 4552356 5690445 6828534 7587260 11380890 13657068 17071335 22761780 34142670 68285340