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68160240 = 24325137691
BaseRepresentation
bin1000001000000…
…00101011110000
311202020220021100
410010000223300
5114422111430
610432524400
71455231621
oct404005360
9152226240
1068160240
1135524885
121a9b0700
1311176305
1490a3a48
155eb5960
hex4100af0

68160240 has 120 divisors (see below), whose sum is σ = 230909328. Its totient is φ = 18017280.

The previous prime is 68160223. The next prime is 68160271. The reversal of 68160240 is 4206186.

68160240 = 93 + 103 + ... + 1283.

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

It is a congruent number.

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, 98295 + ... + 98985.

Almost surely, 268160240 is an apocalyptic number.

68160240 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 68160240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115454664).

68160240 is an abundant number, since it is smaller than the sum of its proper divisors (162749088).

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

68160240 is a wasteful number, since it uses less digits than its factorization.

68160240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68160240 is about 8255.9215112548. The cubic root of 68160240 is about 408.4858686915.

The spelling of 68160240 in words is "sixty-eight million, one hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 137 144 180 240 274 360 411 548 685 691 720 822 1096 1233 1370 1382 1644 2055 2073 2192 2466 2740 2764 3288 3455 4110 4146 4932 5480 5528 6165 6219 6576 6910 8220 8292 9864 10365 10960 11056 12330 12438 13820 16440 16584 19728 20730 24660 24876 27640 31095 32880 33168 41460 49320 49752 55280 62190 82920 94667 98640 99504 124380 165840 189334 248760 284001 378668 473335 497520 568002 757336 852003 946670 1136004 1420005 1514672 1704006 1893340 2272008 2840010 3408012 3786680 4260015 4544016 5680020 6816024 7573360 8520030 11360040 13632048 17040060 22720080 34080120 68160240