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68910336 = 2832112719
BaseRepresentation
bin1000001101101…
…11110100000000
311210200000012200
410012313310000
5120120112321
610500553200
71464504525
oct406676400
9153600180
1068910336
11359973a0
121b0b2800
1311379861
14921b14c
1560b2d26
hex41b7d00

68910336 has 108 divisors (see below), whose sum is σ = 216827520. Its totient is φ = 20874240.

The previous prime is 68910329. The next prime is 68910337. The reversal of 68910336 is 63301986.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68910336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68910337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23985 + ... + 26703.

Almost surely, 268910336 is an apocalyptic number.

68910336 is a gapful number since it is divisible by the number (66) 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 68910336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108413760).

68910336 is an abundant number, since it is smaller than the sum of its proper divisors (147917184).

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

68910336 is a wasteful number, since it uses less digits than its factorization.

68910336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 68910336 is about 8301.2249698463. The cubic root of 68910336 is about 409.9788527661.

It can be divided in two parts, 689 and 10336, that added together give a square (11025 = 1052).

The spelling of 68910336 in words is "sixty-eight million, nine hundred ten thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2719 2816 3168 4224 5438 6336 8157 8448 10876 12672 16314 21752 24471 25344 29909 32628 43504 48942 59818 65256 87008 89727 97884 119636 130512 174016 179454 195768 239272 261024 269181 348032 358908 391536 478544 522048 538362 696064 717816 783072 957088 1044096 1076724 1435632 1566144 1914176 2088192 2153448 2871264 3132288 3828352 4306896 5742528 6264576 7656704 8613792 11485056 17227584 22970112 34455168 68910336