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68396580 = 223257192857
BaseRepresentation
bin1000001001110…
…10011000100100
311202200220110200
410010322120210
5120002142310
610441550500
71460234640
oct404723044
9152626420
1068396580
11356763aa
121aaa5430
1311229a65
149125c20
1560109c0
hex413a624

68396580 has 144 divisors (see below), whose sum is σ = 249674880. Its totient is φ = 14805504.

The previous prime is 68396567. The next prime is 68396591. The reversal of 68396580 is 8569386.

68396580 is a `hidden beast` number, since 68 + 3 + 9 + 6 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 22512 + ... + 25368.

Almost surely, 268396580 is an apocalyptic number.

68396580 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 68396580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124837440).

68396580 is an abundant number, since it is smaller than the sum of its proper divisors (181278300).

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

68396580 is a wasteful number, since it uses less digits than its factorization.

68396580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 68396580 is about 8270.2224879383. Note that the first 3 decimals coincide. The cubic root of 68396580 is about 408.9574543812.

The spelling of 68396580 in words is "sixty-eight million, three hundred ninety-six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 2857 3420 3990 4788 5714 5985 7980 8571 11428 11970 14285 17142 19999 23940 25713 28570 34284 39998 42855 51426 54283 57140 59997 79996 85710 99995 102852 108566 119994 128565 162849 171420 179991 199990 217132 239988 257130 271415 299985 325698 359982 379981 399980 488547 514260 542830 599970 651396 719964 759962 814245 899955 977094 1085660 1139943 1199940 1519924 1628490 1799910 1899905 1954188 2279886 2442735 3256980 3419829 3599820 3799810 4559772 4885470 5699715 6839658 7599620 9770940 11399430 13679316 17099145 22798860 34198290 68396580