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68746880 = 275163659
BaseRepresentation
bin1000001100011…
…11111010000000
311210100200222202
410012033322000
5120044400010
610453252332
71463224136
oct406177200
9153320882
1068746880
1135895604
121b0340a8
1311320337
1491b7756
15607e6a5
hex418fe80

68746880 has 64 divisors (see below), whose sum is σ = 165607200. Its totient is φ = 27288576.

The previous prime is 68746879. The next prime is 68746889. The reversal of 68746880 is 8864786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×687468802 = 9452267019468800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68746889) 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 7 ways as a sum of consecutive naturals, for example, 103991 + ... + 104649.

Almost surely, 268746880 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 68746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82803600).

68746880 is an abundant number, since it is smaller than the sum of its proper divisors (96860320).

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

68746880 is a wasteful number, since it uses less digits than its factorization.

68746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 68746880 is about 8291.3738306749. The cubic root of 68746880 is about 409.6544381584.

The spelling of 68746880 in words is "sixty-eight million, seven hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 163 320 326 640 652 659 815 1304 1318 1630 2608 2636 3260 3295 5216 5272 6520 6590 10432 10544 13040 13180 20864 21088 26080 26360 42176 52160 52720 84352 104320 105440 107417 210880 214834 421760 429668 537085 859336 1074170 1718672 2148340 3437344 4296680 6874688 8593360 13749376 17186720 34373440 68746880