Search a number
-
+
68003760 = 24351125759
BaseRepresentation
bin1000000110110…
…10011110110000
311201221221121210
410003122132300
5114402110020
610425320120
71454010456
oct403323660
9151857553
1068003760
1135428260
121a936040
1311120016
1490629d6
155e843e0
hex40da7b0

68003760 has 80 divisors (see below), whose sum is σ = 229985280. Its totient is φ = 16485120.

The previous prime is 68003737. The next prime is 68003797. The reversal of 68003760 is 6730086.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×680037602 = 9249022748275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10240 + ... + 15519.

It is an arithmetic number, because the mean of its divisors is an integer number (2874816).

Almost surely, 268003760 is an apocalyptic number.

68003760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68003760 is an abundant number, since it is smaller than the sum of its proper divisors (161981520).

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

68003760 is a wasteful number, since it uses less digits than its factorization.

68003760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25786 (or 25780 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 68003760 is about 8246.4392315714. The cubic root of 68003760 is about 408.1730331037.

The spelling of 68003760 in words is "sixty-eight million, three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 25759 51518 77277 103036 128795 154554 206072 257590 283349 309108 386385 412144 515180 566698 618216 772770 850047 1030360 1133396 1236432 1416745 1545540 1700094 2060720 2266792 2833490 3091080 3400188 4250235 4533584 5666980 6182160 6800376 8500470 11333960 13600752 17000940 22667920 34001880 68003760