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67368240 = 2433531189
BaseRepresentation
bin1000000001111…
…11010100110000
311200202122212000
410000333110300
5114221240430
610403534000
71445422602
oct400772460
9150678760
1067368240
1135033835
121a68a300
1310c59984
148d39172
155daae60
hex403f530

67368240 has 80 divisors (see below), whose sum is σ = 232053600. Its totient is φ = 17964288.

The previous prime is 67368221. The next prime is 67368307. The reversal of 67368240 is 4286376.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 67368195 and 67368204.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13435 + ... + 17754.

It is an arithmetic number, because the mean of its divisors is an integer number (2900670).

Almost surely, 267368240 is an apocalyptic number.

67368240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67368240 is an abundant number, since it is smaller than the sum of its proper divisors (164685360).

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

67368240 is a wasteful number, since it uses less digits than its factorization.

67368240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31211 (or 31199 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 67368240 is about 8207.8157874065. The cubic root of 67368240 is about 406.8975427634.

The spelling of 67368240 in words is "sixty-seven million, three hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 31189 62378 93567 124756 155945 187134 249512 280701 311890 374268 467835 499024 561402 623780 748536 842103 935670 1122804 1247560 1403505 1497072 1684206 1871340 2245608 2495120 2807010 3368412 3742680 4210515 4491216 5614020 6736824 7485360 8421030 11228040 13473648 16842060 22456080 33684120 67368240