Search a number
-
+
68811084 = 223219293469
BaseRepresentation
bin1000001100111…
…11100101001100
311210110222001200
410012133211030
5120103423314
610454505500
71463612256
oct406374514
9153428050
1068811084
1135929871
121b065290
1311343624
1491d2cd6
156093709
hex419f94c

68811084 has 72 divisors (see below), whose sum is σ = 189462000. Its totient is φ = 20974464.

The previous prime is 68811073. The next prime is 68811097. The reversal of 68811084 is 48011886.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18102 + ... + 21570.

Almost surely, 268811084 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 68811084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94731000).

68811084 is an abundant number, since it is smaller than the sum of its proper divisors (120650916).

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

68811084 is a wasteful number, since it uses less digits than its factorization.

68811084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 68811084 is about 8295.2446618530. The cubic root of 68811084 is about 409.7819264652.

The spelling of 68811084 in words is "sixty-eight million, eight hundred eleven thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 2204 3306 3469 4959 6612 6938 9918 10407 13876 19836 20814 31221 41628 62442 65911 100601 124884 131822 197733 201202 263644 301803 395466 402404 593199 603606 790932 905409 1186398 1207212 1810818 1911419 2372796 3621636 3822838 5734257 7645676 11468514 17202771 22937028 34405542 68811084