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68544240 = 2435893209
BaseRepresentation
bin1000001010111…
…10011011110000
311202222102000120
410011132123300
5120021403430
610445050240
71461421302
oct405363360
9152872016
1068544240
1135767336
121ab56980
131127c02b
149163972
15603e610
hex415e6f0

68544240 has 80 divisors (see below), whose sum is σ = 214941600. Its totient is φ = 18067456.

The previous prime is 68544167. The next prime is 68544263. The reversal of 68544240 is 4244586.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19756 + ... + 22964.

It is an arithmetic number, because the mean of its divisors is an integer number (2686770).

Almost surely, 268544240 is an apocalyptic number.

68544240 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 68544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107470800).

68544240 is an abundant number, since it is smaller than the sum of its proper divisors (146397360).

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

68544240 is a wasteful number, since it uses less digits than its factorization.

68544240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 68544240 is about 8279.1448833802. The cubic root of 68544240 is about 409.2515395237.

The spelling of 68544240 in words is "sixty-eight million, five hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2670 3209 3560 4272 5340 6418 7120 9627 10680 12836 16045 19254 21360 25672 32090 38508 48135 51344 64180 77016 96270 128360 154032 192540 256720 285601 385080 571202 770160 856803 1142404 1428005 1713606 2284808 2856010 3427212 4284015 4569616 5712020 6854424 8568030 11424040 13708848 17136060 22848080 34272120 68544240