Search a number
-
+
68276480 = 285411301
BaseRepresentation
bin1000001000111…
…01000100000000
311202110210201112
410010131010000
5114434321410
610435222452
71456224536
oct404350400
9152423645
1068276480
11355a4148
121aa47a28
13111b71ac
1490d4156
155eda105
hex411d100

68276480 has 72 divisors (see below), whose sum is σ = 167661144. Its totient is φ = 26624000.

The previous prime is 68276473. The next prime is 68276497. The reversal of 68276480 is 8467286.

It can be written as a sum of positive squares in 4 ways, for example, as 7311616 + 60964864 = 2704^2 + 7808^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51830 + ... + 53130.

It is an arithmetic number, because the mean of its divisors is an integer number (2328627).

Almost surely, 268276480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83830572).

68276480 is an abundant number, since it is smaller than the sum of its proper divisors (99384664).

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

68276480 is a wasteful number, since it uses less digits than its factorization.

68276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 68276480 is about 8262.9583080154. The cubic root of 68276480 is about 408.7179464682.

The spelling of 68276480 in words is "sixty-eight million, two hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 640 656 820 1280 1301 1312 1640 2602 2624 3280 5204 5248 6505 6560 10408 10496 13010 13120 20816 26020 26240 41632 52040 52480 53341 83264 104080 106682 166528 208160 213364 266705 333056 416320 426728 533410 832640 853456 1066820 1665280 1706912 2133640 3413824 4267280 6827648 8534560 13655296 17069120 34138240 68276480