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68430960 = 24335132437
BaseRepresentation
bin1000001010000…
…10110001110000
311202202122122000
410011002301300
5120004242320
610442414000
71460440113
oct405026160
9152678560
1068430960
113569a214
121ab01300
131123c5c0
14913457a
15601ac90
hex4142c70

68430960 has 160 divisors (see below), whose sum is σ = 253942080. Its totient is φ = 16837632.

The previous prime is 68430949. The next prime is 68430977. The reversal of 68430960 is 6903486.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26862 + ... + 29298.

It is an arithmetic number, because the mean of its divisors is an integer number (1587138).

Almost surely, 268430960 is an apocalyptic number.

68430960 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 68430960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126971040).

68430960 is an abundant number, since it is smaller than the sum of its proper divisors (185511120).

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

68430960 is a wasteful number, since it uses less digits than its factorization.

68430960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 68430960 is about 8272.3007682265. The cubic root of 68430960 is about 409.0259646399.

The spelling of 68430960 in words is "sixty-eight million, four hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2437 2808 3120 3510 4680 4874 5616 7020 7311 9360 9748 12185 14040 14622 19496 21933 24370 28080 29244 31681 36555 38992 43866 48740 58488 63362 65799 73110 87732 95043 97480 109665 116976 126724 131598 146220 158405 175464 190086 194960 219330 253448 263196 285129 292440 316810 328995 350928 380172 438660 475215 506896 526392 570258 584880 633620 657990 760344 855387 877320 950430 1052784 1140516 1267240 1315980 1425645 1520688 1710774 1754640 1900860 2281032 2534480 2631960 2851290 3421548 3801720 4276935 4562064 5263920 5702580 6843096 7603440 8553870 11405160 13686192 17107740 22810320 34215480 68430960