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68042280 = 23352389277
BaseRepresentation
bin1000000111000…
…11111000101000
311202000220110110
410003203320220
5114404323110
610430214320
71454230665
oct403437050
9152026413
1068042280
1135454199
121a9543a0
1311134707
149072a6c
155e90a20
hex40e3e28

68042280 has 128 divisors (see below), whose sum is σ = 216172800. Its totient is φ = 17098752.

The previous prime is 68042243. The next prime is 68042309. The reversal of 68042280 is 8224086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245502 + ... + 245778.

It is an arithmetic number, because the mean of its divisors is an integer number (1688850).

Almost surely, 268042280 is an apocalyptic number.

68042280 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 68042280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108086400).

68042280 is an abundant number, since it is smaller than the sum of its proper divisors (148130520).

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

68042280 is a wasteful number, since it uses less digits than its factorization.

68042280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 68042280 is about 8248.7744544265. The cubic root of 68042280 is about 408.2500869680.

The spelling of 68042280 in words is "sixty-eight million, forty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 89 92 115 120 138 178 184 230 267 276 277 345 356 445 460 534 552 554 690 712 831 890 920 1068 1108 1335 1380 1385 1662 1780 2047 2136 2216 2670 2760 2770 3324 3560 4094 4155 5340 5540 6141 6371 6648 8188 8310 10235 10680 11080 12282 12742 16376 16620 19113 20470 24564 24653 25484 30705 31855 33240 38226 40940 49128 49306 50968 61410 63710 73959 76452 81880 95565 98612 122820 123265 127420 147918 152904 191130 197224 245640 246530 254840 295836 369795 382260 493060 567019 591672 739590 764520 986120 1134038 1479180 1701057 2268076 2835095 2958360 3402114 4536152 5670190 6804228 8505285 11340380 13608456 17010570 22680760 34021140 68042280