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68812560 = 24325313083
BaseRepresentation
bin1000001100111…
…11111100010000
311210111001002100
410012133330100
5120104000220
610454520400
71463616465
oct406377420
9153431070
1068812560
113592a993
121b066100
13113441bb
1491d366c
156093d90
hex419ff10

68812560 has 120 divisors (see below), whose sum is σ = 238627584. Its totient is φ = 17752320.

The previous prime is 68812543. The next prime is 68812577. The reversal of 68812560 is 6521886.

It is a happy number.

68812560 is a `hidden beast` number, since 6 + 88 + 12 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (68812543) and next prime (68812577).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 20779 + ... + 23861.

Almost surely, 268812560 is an apocalyptic number.

68812560 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 68812560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119313792).

68812560 is an abundant number, since it is smaller than the sum of its proper divisors (169815024).

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

68812560 is a wasteful number, since it uses less digits than its factorization.

68812560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 68812560 is about 8295.3336280104. Note that the first 3 decimals coincide. The cubic root of 68812560 is about 409.7848563895.

The spelling of 68812560 in words is "sixty-eight million, eight hundred twelve thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3083 3720 4464 5580 6166 7440 9249 11160 12332 15415 18498 22320 24664 27747 30830 36996 46245 49328 55494 61660 73992 92490 95573 110988 123320 138735 147984 184980 191146 221976 246640 277470 286719 369960 382292 443952 477865 554940 573438 739920 764584 860157 955730 1109880 1146876 1433595 1529168 1720314 1911460 2219760 2293752 2867190 3440628 3822920 4300785 4587504 5734380 6881256 7645840 8601570 11468760 13762512 17203140 22937520 34406280 68812560