Search a number
-
+
68000280 = 23352392371
BaseRepresentation
bin1000000110110…
…01101000011000
311201221202211220
410003121220120
5114402002110
610425252040
71453664355
oct403315030
9151852756
1068000280
1135425687
121a934020
131111b56a
14906162c
155e83370
hex40d9a18

68000280 has 64 divisors (see below), whose sum is σ = 204940800. Its totient is φ = 18049920.

The previous prime is 68000239. The next prime is 68000281. The reversal of 68000280 is 8200086.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 68000280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68000281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27495 + ... + 29865.

It is an arithmetic number, because the mean of its divisors is an integer number (3202200).

Almost surely, 268000280 is an apocalyptic number.

68000280 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 68000280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102470400).

68000280 is an abundant number, since it is smaller than the sum of its proper divisors (136940520).

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

68000280 is a wasteful number, since it uses less digits than its factorization.

68000280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 68000280 is about 8246.2282287116. The cubic root of 68000280 is about 408.1660704181.

The spelling of 68000280 in words is "sixty-eight million, two hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 478 717 956 1195 1434 1912 2371 2390 2868 3585 4742 4780 5736 7113 7170 9484 9560 11855 14226 14340 18968 23710 28452 28680 35565 47420 56904 71130 94840 142260 284520 566669 1133338 1700007 2266676 2833345 3400014 4533352 5666690 6800028 8500035 11333380 13600056 17000070 22666760 34000140 68000280