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68482128 = 24311213907
BaseRepresentation
bin1000001010011…
…11010001010000
311202212020211010
410011033101100
5120012412003
610443450520
71461042231
oct405172120
9152766733
1068482128
1135724700
121ab26a40
1311259990
149149088
15602b003
hex414f450

68482128 has 120 divisors (see below), whose sum is σ = 209646304. Its totient is φ = 19134720.

The previous prime is 68482123. The next prime is 68482129. The reversal of 68482128 is 82128486.

It is a super-3 number, since 3×684821283 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68482121) 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, 75051 + ... + 75957.

Almost surely, 268482128 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 68482128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104823152).

68482128 is an abundant number, since it is smaller than the sum of its proper divisors (141164176).

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

68482128 is a wasteful number, since it uses less digits than its factorization.

68482128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 936 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 68482128 is about 8275.3929211851. The cubic root of 68482128 is about 409.1278864712.

The spelling of 68482128 in words is "sixty-eight million, four hundred eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 121 132 143 156 176 208 242 264 286 312 363 429 484 528 572 624 726 858 907 968 1144 1452 1573 1716 1814 1936 2288 2721 2904 3146 3432 3628 4719 5442 5808 6292 6864 7256 9438 9977 10884 11791 12584 14512 18876 19954 21768 23582 25168 29931 35373 37752 39908 43536 47164 59862 70746 75504 79816 94328 109747 119724 129701 141492 159632 188656 219494 239448 259402 282984 329241 389103 438988 478896 518804 565968 658482 778206 877976 1037608 1316964 1426711 1556412 1755952 2075216 2633928 2853422 3112824 4280133 5267856 5706844 6225648 8560266 11413688 17120532 22827376 34241064 68482128