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68079900 = 223527171907
BaseRepresentation
bin1000000111011…
…01000100011100
311202002211001210
410003231010130
5114412024100
610431104420
71454445450
oct403550434
9152084053
1068079900
113547a489
121a972110
1311148885
149082660
155e9bc50
hex40ed11c

68079900 has 144 divisors (see below), whose sum is σ = 238484736. Its totient is φ = 14638080.

The previous prime is 68079899. The next prime is 68079919. The reversal of 68079900 is 997086.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 34747 + ... + 36653.

It is an arithmetic number, because the mean of its divisors is an integer number (1656144).

Almost surely, 268079900 is an apocalyptic number.

68079900 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 68079900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119242368).

68079900 is an abundant number, since it is smaller than the sum of its proper divisors (170404836).

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

68079900 is a wasteful number, since it uses less digits than its factorization.

68079900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 68079900 is about 8251.0544780652. The cubic root of 68079900 is about 408.3253124437.

The spelling of 68079900 in words is "sixty-eight million, seventy-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 1907 2100 2380 2550 2975 3570 3814 5100 5721 5950 7140 7628 8925 9535 11442 11900 13349 17850 19070 22884 26698 28605 32419 35700 38140 40047 47675 53396 57210 64838 66745 80094 95350 97257 114420 129676 133490 143025 160188 162095 190700 194514 200235 226933 266980 286050 324190 333725 389028 400470 453866 486285 572100 648380 667450 680799 800940 810475 907732 972570 1001175 1134665 1334900 1361598 1620950 1945140 2002350 2269330 2431425 2723196 3241900 3403995 4004700 4538660 4862850 5673325 6807990 9725700 11346650 13615980 17019975 22693300 34039950 68079900