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68666940 = 2235571199
BaseRepresentation
bin1000001011111…
…00011000111100
311210012122100000
410011330120330
5120034320230
610451434300
71462442106
oct405743074
9153178300
1068666940
1135840541
121abb5990
13112c2b34
149196576
156065b60
hex417c63c

68666940 has 144 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 17962560.

The previous prime is 68666903. The next prime is 68666947. The reversal of 68666940 is 4966686.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68666947) 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 47 ways as a sum of consecutive naturals, for example, 344961 + ... + 345159.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 268666940 is an apocalyptic number.

68666940 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 68666940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

68666940 is an abundant number, since it is smaller than the sum of its proper divisors (151480260).

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

68666940 is a wasteful number, since it uses less digits than its factorization.

68666940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 68666940 is about 8286.5517557064. The cubic root of 68666940 is about 409.4955922723.

The spelling of 68666940 in words is "sixty-eight million, six hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 81 90 108 135 142 162 180 199 213 243 270 284 324 355 398 405 426 486 540 597 639 710 796 810 852 972 995 1065 1194 1215 1278 1420 1620 1791 1917 1990 2130 2388 2430 2556 2985 3195 3582 3834 3980 4260 4860 5373 5751 5970 6390 7164 7668 8955 9585 10746 11502 11940 12780 14129 16119 17253 17910 19170 21492 23004 26865 28258 28755 32238 34506 35820 38340 42387 48357 53730 56516 57510 64476 69012 70645 80595 84774 86265 96714 107460 115020 127161 141290 161190 169548 172530 193428 211935 241785 254322 282580 322380 345060 381483 423870 483570 508644 635805 762966 847740 967140 1144449 1271610 1525932 1907415 2288898 2543220 3433347 3814830 4577796 5722245 6866694 7629660 11444490 13733388 17166735 22888980 34333470 68666940