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68207328 = 25327231471
BaseRepresentation
bin1000001000011…
…00001011100000
311202100021212100
410010030023200
5114430113303
610433530400
71455516120
oct404141340
9152307770
1068207328
11355571a2
121aa13a00
1311191887
1490b6c80
155ec48a3
hex410c2e0

68207328 has 144 divisors (see below), whose sum is σ = 231469056. Its totient is φ = 18627840.

The previous prime is 68207327. The next prime is 68207329. The reversal of 68207328 is 82370286.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68207327) and next prime (68207329).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 68207292 and 68207301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68207327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45633 + ... + 47103.

It is an arithmetic number, because the mean of its divisors is an integer number (1607424).

Almost surely, 268207328 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 68207328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115734528).

68207328 is an abundant number, since it is smaller than the sum of its proper divisors (163261728).

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

68207328 is a wasteful number, since it uses less digits than its factorization.

68207328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 68207328 is about 8258.7727901910. The cubic root of 68207328 is about 408.5799135231.

The spelling of 68207328 in words is "sixty-eight million, two hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1471 1656 1932 2016 2208 2576 2898 2942 3312 3864 4413 5152 5796 5884 6624 7728 8826 10297 11592 11768 13239 15456 17652 20594 23184 23536 26478 30891 33833 35304 41188 46368 47072 52956 61782 67666 70608 82376 92673 101499 105912 123564 135332 141216 164752 185346 202998 211824 236831 247128 270664 304497 329504 370692 405996 423648 473662 494256 541328 608994 710493 741384 811992 947324 988512 1082656 1217988 1420986 1482768 1623984 1894648 2131479 2435976 2841972 2965536 3247968 3789296 4262958 4871952 5683944 7578592 8525916 9743904 11367888 17051832 22735776 34103664 68207328