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68812380 = 223257134201
BaseRepresentation
bin1000001100111…
…11111001011100
311210111000211200
410012133321130
5120103444010
610454515500
71463616120
oct406377134
9153430750
1068812380
113592a83a
121b065b90
13113440b0
1491d3580
156093cc0
hex419fe5c

68812380 has 144 divisors (see below), whose sum is σ = 256960704. Its totient is φ = 14515200.

The previous prime is 68812369. The next prime is 68812421. The reversal of 68812380 is 8321886.

68812380 = T1184 + T1185 + ... + T1274.

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 47 ways as a sum of consecutive naturals, for example, 14280 + ... + 18480.

Almost surely, 268812380 is an apocalyptic number.

68812380 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 68812380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128480352).

68812380 is an abundant number, since it is smaller than the sum of its proper divisors (188148324).

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

68812380 is a wasteful number, since it uses less digits than its factorization.

68812380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 68812380 is about 8295.3227785301. The cubic root of 68812380 is about 409.7844990839.

It can be divided in two parts, 6881 and 2380, that added together give a cube (9261 = 213).

The spelling of 68812380 in words is "sixty-eight million, eight hundred twelve thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 4201 5460 8190 8402 12603 16380 16804 21005 25206 29407 37809 42010 50412 54613 58814 63015 75618 84020 88221 109226 117628 126030 147035 151236 163839 176442 189045 218452 252060 264663 273065 294070 327678 352884 378090 382291 441105 491517 529326 546130 588140 655356 756180 764582 819195 882210 983034 1058652 1092260 1146873 1323315 1529164 1638390 1764420 1911455 1966068 2293746 2457585 2646630 3276780 3440619 3822910 4587492 4915170 5293260 5734365 6881238 7645820 9830340 11468730 13762476 17203095 22937460 34406190 68812380