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68488680 = 233513431021
BaseRepresentation
bin1000001010100…
…00110111101000
311202212120210210
410011100313220
5120013114210
610443541120
71461100311
oct405206750
9152776723
1068488680
1135729617
121ab2a7a0
131125c960
14914b608
15602ce20
hex4150de8

68488680 has 128 divisors (see below), whose sum is σ = 226638720. Its totient is φ = 16450560.

The previous prime is 68488663. The next prime is 68488681. The reversal of 68488680 is 8688486.

It is not an unprimeable number, because it can be changed into a prime (68488681) by changing a digit.

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, 66570 + ... + 67590.

It is an arithmetic number, because the mean of its divisors is an integer number (1770615).

Almost surely, 268488680 is an apocalyptic number.

68488680 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 68488680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113319360).

68488680 is an abundant number, since it is smaller than the sum of its proper divisors (158150040).

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

68488680 is a wasteful number, since it uses less digits than its factorization.

68488680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 68488680 is about 8275.7887841583. The cubic root of 68488680 is about 409.1409337704.

The spelling of 68488680 in words is "sixty-eight million, four hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 156 172 195 215 258 260 312 344 390 430 516 520 559 645 780 860 1021 1032 1118 1290 1560 1677 1720 2042 2236 2580 2795 3063 3354 4084 4472 5105 5160 5590 6126 6708 8168 8385 10210 11180 12252 13273 13416 15315 16770 20420 22360 24504 26546 30630 33540 39819 40840 43903 53092 61260 66365 67080 79638 87806 106184 122520 131709 132730 159276 175612 199095 219515 263418 265460 318552 351224 398190 439030 526836 530920 570739 658545 796380 878060 1053672 1141478 1317090 1592760 1712217 1756120 2282956 2634180 2853695 3424434 4565912 5268360 5707390 6848868 8561085 11414780 13697736 17122170 22829560 34244340 68488680