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68781330 = 23251922973
BaseRepresentation
bin1000001100110…
…00010100010010
311210102110020200
410012120110102
5120102000310
610454120030
71463426442
oct406302422
9153373220
1068781330
1135909482
121b050016
1311332c17
1491c6122
1560899c0
hex4198512

68781330 has 144 divisors (see below), whose sum is σ = 197921880. Its totient is φ = 16547328.

The previous prime is 68781283. The next prime is 68781331. The reversal of 68781330 is 3318786.

It can be written as a sum of positive squares in 4 ways, for example, as 57471561 + 11309769 = 7581^2 + 3363^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68781331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 942174 + ... + 942246.

Almost surely, 268781330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68781330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98960940).

68781330 is an abundant number, since it is smaller than the sum of its proper divisors (129140550).

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

68781330 is a wasteful number, since it uses less digits than its factorization.

68781330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68781330 is about 8293.4510307833. The cubic root of 68781330 is about 409.7228545419.

The spelling of 68781330 in words is "sixty-eight million, seven hundred eighty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 29 30 38 45 57 58 73 87 90 95 114 145 146 171 174 190 219 261 285 290 342 361 365 435 438 522 551 570 657 722 730 855 870 1083 1095 1102 1305 1314 1387 1653 1710 1805 2117 2166 2190 2610 2755 2774 3249 3285 3306 3610 4161 4234 4959 5415 5510 6351 6498 6570 6935 8265 8322 9918 10469 10585 10830 12483 12702 13870 16245 16530 19053 20805 20938 21170 24795 24966 26353 31407 31755 32490 38106 40223 41610 49590 52345 52706 62415 62814 63510 79059 80446 94221 95265 104690 120669 124830 131765 157035 158118 188442 190530 201115 237177 241338 263530 314070 362007 395295 402230 471105 474354 603345 724014 764237 790590 942210 1185885 1206690 1528474 1810035 2292711 2371770 3620070 3821185 4585422 6878133 7642370 11463555 13756266 22927110 34390665 68781330