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68388240 = 2435674253
BaseRepresentation
bin1000001001110…
…00010110010000
311202200111000210
410010320112100
5120001410430
610441444120
71460201424
oct404702620
9152614023
1068388240
1135670108
121aaa0640
131122601b
149122b84
15600d2b0
hex4138590

68388240 has 80 divisors (see below), whose sum is σ = 215218368. Its totient is φ = 17960448.

The previous prime is 68388227. The next prime is 68388283. The reversal of 68388240 is 4288386.

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

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, 13954 + ... + 18206.

Almost surely, 268388240 is an apocalyptic number.

68388240 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 68388240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107609184).

68388240 is an abundant number, since it is smaller than the sum of its proper divisors (146830128).

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

68388240 is a wasteful number, since it uses less digits than its factorization.

68388240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 68388240 is about 8269.7182539673. The cubic root of 68388240 is about 408.9408315043.

The spelling of 68388240 in words is "sixty-eight million, three hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 4253 5360 8040 8506 12759 16080 17012 21265 25518 34024 42530 51036 63795 68048 85060 102072 127590 170120 204144 255180 284951 340240 510360 569902 854853 1020720 1139804 1424755 1709706 2279608 2849510 3419412 4274265 4559216 5699020 6838824 8548530 11398040 13677648 17097060 22796080 34194120 68388240