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68367040 = 2657231327
BaseRepresentation
bin1000001001100…
…11001011000000
311202122101221121
410010303023000
5120000221130
610441202024
71460052550
oct404631300
9152571847
1068367040
1135656195
121aa90314
1311219491
149119160
156006d7a
hex41332c0

68367040 has 112 divisors (see below), whose sum is σ = 194291712. Its totient is φ = 22404096.

The previous prime is 68367037. The next prime is 68367127. The reversal of 68367040 is 4076386.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×683670403 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68366987 and 68367005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50857 + ... + 52183.

Almost surely, 268367040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97145856).

68367040 is an abundant number, since it is smaller than the sum of its proper divisors (125924672).

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

68367040 is a wasteful number, since it uses less digits than its factorization.

68367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 68367040 is about 8268.4363697134. The cubic root of 68367040 is about 408.8985706242.

The spelling of 68367040 in words is "sixty-eight million, three hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 448 460 560 644 736 805 920 1120 1288 1327 1472 1610 1840 2240 2576 2654 3220 3680 5152 5308 6440 6635 7360 9289 10304 10616 12880 13270 18578 21232 25760 26540 30521 37156 42464 46445 51520 53080 61042 74312 84928 92890 106160 122084 148624 152605 185780 212320 213647 244168 297248 305210 371560 424640 427294 488336 594496 610420 743120 854588 976672 1068235 1220840 1486240 1709176 1953344 2136470 2441680 2972480 3418352 4272940 4883360 6836704 8545880 9766720 13673408 17091760 34183520 68367040