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68666640 = 2435725839
BaseRepresentation
bin1000001011111…
…00010100010000
311210012121220220
410011330110100
5120034313030
610451433040
71462441200
oct405742420
9153177826
1068666640
1135840299
121abb5780
13112c2963
149196400
156065a10
hex417c510

68666640 has 120 divisors (see below), whose sum is σ = 247662720. Its totient is φ = 15692544.

The previous prime is 68666639. The next prime is 68666651. The reversal of 68666640 is 4666686.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 68666592 and 68666601.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8841 + ... + 14679.

It is an arithmetic number, because the mean of its divisors is an integer number (2063856).

Almost surely, 268666640 is an apocalyptic number.

68666640 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 68666640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123831360).

68666640 is an abundant number, since it is smaller than the sum of its proper divisors (178996080).

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

68666640 is a wasteful number, since it uses less digits than its factorization.

68666640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5869 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 68666640 is about 8286.5336540679. The cubic root of 68666640 is about 409.4949959210.

The spelling of 68666640 in words is "sixty-eight million, six hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5839 5880 11678 11760 17517 23356 29195 35034 40873 46712 58390 70068 81746 87585 93424 116780 122619 140136 163492 175170 204365 233560 245238 280272 286111 326984 350340 408730 467120 490476 572222 613095 653968 700680 817460 858333 980952 1144444 1226190 1401360 1430555 1634920 1716666 1961904 2288888 2452380 2861110 3269840 3433332 4291665 4577776 4904760 5722220 6866664 8583330 9809520 11444440 13733328 17166660 22888880 34333320 68666640