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68400486 = 232711172903
BaseRepresentation
bin1000001001110…
…11010101100110
311202201002211100
410010323111212
5120002303421
610442020530
71460252220
oct404732546
9152632740
1068400486
1135679330
121aaa7746
131122b77b
149127410
156011c26
hex413b566

68400486 has 96 divisors (see below), whose sum is σ = 195706368. Its totient is φ = 16715520.

The previous prime is 68400467. The next prime is 68400509.

68400486 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 68400486.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 22111 + ... + 25013.

It is an arithmetic number, because the mean of its divisors is an integer number (2038608).

Almost surely, 268400486 is an apocalyptic number.

68400486 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68400486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97853184).

68400486 is an abundant number, since it is smaller than the sum of its proper divisors (127305882).

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

68400486 is a wasteful number, since it uses less digits than its factorization.

68400486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 68400486 is about 8270.4586329901. The cubic root of 68400486 is about 408.9652391633.

It can be divided in two parts, 68400 and 486, that added together give a palindrome (68886).

The spelling of 68400486 in words is "sixty-eight million, four hundred thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 306 357 374 462 561 693 714 1071 1122 1309 1386 1683 2142 2618 2903 3366 3927 5806 7854 8709 11781 17418 20321 23562 26127 31933 40642 49351 52254 60963 63866 95799 98702 121926 148053 182889 191598 223531 287397 296106 345457 365778 444159 447062 542861 574794 670593 690914 888318 1036371 1085722 1341186 1628583 2011779 2072742 3109113 3257166 3800027 4023558 4885749 6218226 7600054 9771498 11400081 22800162 34200243 68400486