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68126976 = 283229569
BaseRepresentation
bin1000000111110…
…00100100000000
311202012012122100
410003320210000
5114420030401
610432110400
71455032631
oct403704400
9152165570
1068126976
1135501895
121a995400
1311164128
149095888
155eaab86
hex40f8900

68126976 has 54 divisors (see below), whose sum is σ = 196433510. Its totient is φ = 22708224.

The previous prime is 68126963. The next prime is 68126977. The reversal of 68126976 is 67962186.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 9144576 = 7680^2 + 3024^2 .

It is not an unprimeable number, because it can be changed into a prime (68126977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12481 + ... + 17088.

Almost surely, 268126976 is an apocalyptic number.

It is an amenable number.

68126976 is an abundant number, since it is smaller than the sum of its proper divisors (128306534).

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

68126976 is a wasteful number, since it uses less digits than its factorization.

68126976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29591 (or 29574 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 68126976 is about 8253.9067113701. The cubic root of 68126976 is about 408.4194072425.

It can be divided in two parts, 68 and 126976, that multiplied together give a palindrome (8634368).

The spelling of 68126976 in words is "sixty-eight million, one hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 29569 59138 88707 118276 177414 236552 266121 354828 473104 532242 709656 946208 1064484 1419312 1892416 2128968 2838624 3784832 4257936 5677248 7569664 8515872 11354496 17031744 22708992 34063488 68126976