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66316840 = 23519711229
BaseRepresentation
bin1111110011111…
…0101000101000
311121210020121021
43330332220220
5113434114330
610325222224
71433453362
oct374765050
9147706537
1066316840
1134485907
121a261974
131097c245
148b43d32
155c4e67a
hex3f3ea28

66316840 has 64 divisors (see below), whose sum is σ = 159408000. Its totient is φ = 24756480.

The previous prime is 66316829. The next prime is 66316841. The reversal of 66316840 is 4861366.

It is a junction number, because it is equal to n+sod(n) for n = 66316796 and 66316805.

It is not an unprimeable number, because it can be changed into a prime (66316841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53346 + ... + 54574.

It is an arithmetic number, because the mean of its divisors is an integer number (2490750).

Almost surely, 266316840 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 66316840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79704000).

66316840 is an abundant number, since it is smaller than the sum of its proper divisors (93091160).

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

66316840 is a wasteful number, since it uses less digits than its factorization.

66316840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 66316840 is about 8143.5152115042. The cubic root of 66316840 is about 404.7696500391.

The spelling of 66316840 in words is "sixty-six million, three hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 71 76 95 142 152 190 284 355 380 568 710 760 1229 1349 1420 2458 2698 2840 4916 5396 6145 6745 9832 10792 12290 13490 23351 24580 26980 46702 49160 53960 87259 93404 116755 174518 186808 233510 349036 436295 467020 698072 872590 934040 1657921 1745180 3315842 3490360 6631684 8289605 13263368 16579210 33158420 66316840