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68750640 = 2433574547
BaseRepresentation
bin1000001100100…
…00110100110000
311210100220011000
410012100310300
5120100010030
610453322000
71463241120
oct406206460
9153326130
1068750640
1135898412
121b036300
1311321c6a
1491b8c80
156080860
hex4190d30

68750640 has 160 divisors (see below), whose sum is σ = 270696960. Its totient is φ = 15710976.

The previous prime is 68750621. The next prime is 68750659. The reversal of 68750640 is 4605786.

It is a happy number.

68750640 is a `hidden beast` number, since 6 + 8 + 7 + 5 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (68750621) and next prime (68750659).

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

It is a junction number, because it is equal to n+sod(n) for n = 68750595 and 68750604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12847 + ... + 17393.

It is an arithmetic number, because the mean of its divisors is an integer number (1691856).

Almost surely, 268750640 is an apocalyptic number.

68750640 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 68750640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135348480).

68750640 is an abundant number, since it is smaller than the sum of its proper divisors (201946320).

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

68750640 is a wasteful number, since it uses less digits than its factorization.

68750640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68750640 is about 8291.6005692508. The cubic root of 68750640 is about 409.6619064857.

The spelling of 68750640 in words is "sixty-eight million, seven hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 4547 5040 7560 9094 13641 15120 18188 22735 27282 31829 36376 40923 45470 54564 63658 68205 72752 81846 90940 95487 109128 122769 127316 136410 159145 163692 181880 190974 204615 218256 245538 254632 272820 286461 318290 327384 363760 381948 409230 477435 491076 509264 545640 572922 613845 636580 654768 763896 818460 859383 954870 982152 1091280 1145844 1227690 1273160 1432305 1527792 1636920 1718766 1909740 1964304 2291688 2455380 2546320 2864610 3273840 3437532 3819480 4296915 4583376 4910760 5729220 6875064 7638960 8593830 9821520 11458440 13750128 17187660 22916880 34375320 68750640