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68740776 = 2332132712
BaseRepresentation
bin1000001100011…
…10011010101000
311210100101121200
410012032122220
5120044201101
610453204200
71463200266
oct406163250
9153311550
1068740776
1135890a65
121b030660
131131a620
1491b5436
15607c986
hex418e6a8

68740776 has 72 divisors (see below), whose sum is σ = 201236490. Its totient is φ = 21072960.

The previous prime is 68740757. The next prime is 68740799. The reversal of 68740776 is 67704786.

It can be written as a sum of positive squares in only one way, i.e., 66096900 + 2643876 = 8130^2 + 1626^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 253521 + ... + 253791.

Almost surely, 268740776 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 68740776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100618245).

68740776 is an abundant number, since it is smaller than the sum of its proper divisors (132495714).

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

68740776 is a wasteful number, since it uses less digits than its factorization.

68740776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 68740776 is about 8291.0057291019. The cubic root of 68740776 is about 409.6423134642.

The spelling of 68740776 in words is "sixty-eight million, seven hundred forty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 271 312 468 542 813 936 1084 1626 2168 2439 3252 3523 4878 6504 7046 9756 10569 14092 19512 21138 28184 31707 42276 63414 73441 84552 126828 146882 220323 253656 293764 440646 587528 660969 881292 954733 1321938 1762584 1909466 2643876 2864199 3818932 5287752 5728398 7637864 8592597 11456796 17185194 22913592 34370388 68740776