[go: up one dir, main page]

Search a number
-
+
68760576 = 21034829
BaseRepresentation
bin1000001100100…
…11010000000000
311210101101210000
410012103100000
5120100314301
610453440000
71463312103
oct406232000
9153341700
1068760576
11358a4925
121b040000
1311326641
1491bc73a
156083786
hex4193400

68760576 has 110 divisors (see below), whose sum is σ = 205580210. Its totient is φ = 22892544.

The previous prime is 68760553. The next prime is 68760583. The reversal of 68760576 is 67506786.

68760576 is a `hidden beast` number, since 6 + 8 + 76 + 0 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60466176 + 8294400 = 7776^2 + 2880^2 .

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 9 ways as a sum of consecutive naturals, for example, 82530 + ... + 83358.

It is an arithmetic number, because the mean of its divisors is an integer number (1868911).

Almost surely, 268760576 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 68760576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102790105).

68760576 is an abundant number, since it is smaller than the sum of its proper divisors (136819634).

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

68760576 is an equidigital number, since it uses as much as digits as its factorization.

68760576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 68760576 is about 8292.1997081595. The cubic root of 68760576 is about 409.6816406275.

The spelling of 68760576 in words is "sixty-eight million, seven hundred sixty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 829 864 1024 1152 1296 1536 1658 1728 2304 2487 2592 3072 3316 3456 4608 4974 5184 6632 6912 7461 9216 9948 10368 13264 13824 14922 19896 20736 22383 26528 27648 29844 39792 41472 44766 53056 59688 67149 79584 82944 89532 106112 119376 134298 159168 179064 212224 238752 268596 318336 358128 424448 477504 537192 636672 716256 848896 955008 1074384 1273344 1432512 1910016 2148768 2546688 2865024 3820032 4297536 5730048 7640064 8595072 11460096 17190144 22920192 34380288 68760576