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68000580 = 22335125927
BaseRepresentation
bin1000000110110…
…01101101000100
311201221210021000
410003121231010
5114402004310
610425253300
71453665264
oct403315504
9151853230
1068000580
113542592a
121a934230
131111b73b
1490617a4
155e834c0
hex40d9b44

68000580 has 48 divisors (see below), whose sum is σ = 211559040. Its totient is φ = 18133344.

The previous prime is 68000567. The next prime is 68000599. The reversal of 68000580 is 8500086.

68000580 is a `hidden beast` number, since 6 + 80 + 0 + 0 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 62424 + ... + 63503.

It is an arithmetic number, because the mean of its divisors is an integer number (4407480).

Almost surely, 268000580 is an apocalyptic number.

68000580 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68000580 is an abundant number, since it is smaller than the sum of its proper divisors (143558460).

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

68000580 is a wasteful number, since it uses less digits than its factorization.

68000580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125945 (or 125937 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 68000580 is about 8246.2464188260. The cubic root of 68000580 is about 408.1666706590.

The spelling of 68000580 in words is "sixty-eight million, five hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 125927 251854 377781 503708 629635 755562 1133343 1259270 1511124 1888905 2266686 2518540 3400029 3777810 4533372 5666715 6800058 7555620 11333430 13600116 17000145 22666860 34000290 68000580