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68263440 = 24357179227
BaseRepresentation
bin1000001000110…
…01111000010000
311202110010211120
410010121320100
5114433412230
610435042240
71456141530
oct404317020
9152403746
1068263440
1135595373
121aa40380
13111b128b
1490cd4c0
155ed6310
hex4119e10

68263440 has 160 divisors (see below), whose sum is σ = 244270080. Its totient is φ = 15447552.

The previous prime is 68263439. The next prime is 68263441. The reversal of 68263440 is 4436286.

It is an interprime number because it is at equal distance from previous prime (68263439) and next prime (68263441).

It is not an unprimeable number, because it can be changed into a prime (68263441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300607 + ... + 300833.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 268263440 is an apocalyptic number.

68263440 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 68263440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

68263440 is an abundant number, since it is smaller than the sum of its proper divisors (176006640).

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

68263440 is a wasteful number, since it uses less digits than its factorization.

68263440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 68263440 is about 8262.1692066914. The cubic root of 68263440 is about 408.6919247139.

The spelling of 68263440 in words is "sixty-eight million, two hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 179 210 227 240 280 336 358 420 454 537 560 681 716 840 895 908 1074 1135 1253 1362 1432 1589 1680 1790 1816 2148 2270 2506 2685 2724 2864 3178 3405 3580 3632 3759 4296 4540 4767 5012 5370 5448 6265 6356 6810 7160 7518 7945 8592 9080 9534 10024 10740 10896 12530 12712 13620 14320 15036 15890 18160 18795 19068 20048 21480 23835 25060 25424 27240 30072 31780 37590 38136 40633 42960 47670 50120 54480 60144 63560 75180 76272 81266 95340 100240 121899 127120 150360 162532 190680 203165 243798 284431 300720 325064 381360 406330 487596 568862 609495 650128 812660 853293 975192 1137724 1218990 1422155 1625320 1706586 1950384 2275448 2437980 2844310 3250640 3413172 4266465 4550896 4875960 5688620 6826344 8532930 9751920 11377240 13652688 17065860 22754480 34131720 68263440