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66710304 = 253523373
BaseRepresentation
bin1111111001111…
…0101100100000
311122112020100000
43332132230200
5114034212204
610341500000
71440012453
oct376365440
9148466300
1066710304
1134724491
121a411600
1310a8936b
148c0749a
155ccb039
hex3f9eb20

66710304 has 144 divisors (see below), whose sum is σ = 205837632. Its totient is φ = 21212928.

The previous prime is 66710291. The next prime is 66710323. The reversal of 66710304 is 40301766.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178662 + ... + 179034.

It is an arithmetic number, because the mean of its divisors is an integer number (1429428).

Almost surely, 266710304 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 66710304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102918816).

66710304 is an abundant number, since it is smaller than the sum of its proper divisors (139127328).

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

66710304 is a wasteful number, since it uses less digits than its factorization.

66710304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 66710304 is about 8167.6376021467. The cubic root of 66710304 is about 405.5685841008.

The spelling of 66710304 in words is "sixty-six million, seven hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 243 276 288 324 368 373 414 432 486 552 621 648 736 746 828 864 972 1104 1119 1242 1296 1492 1656 1863 1944 2208 2238 2484 2592 2984 3312 3357 3726 3888 4476 4968 5589 5968 6624 6714 7452 7776 8579 8952 9936 10071 11178 11936 13428 14904 17158 17904 19872 20142 22356 25737 26856 29808 30213 34316 35808 40284 44712 51474 53712 59616 60426 68632 77211 80568 89424 90639 102948 107424 120852 137264 154422 161136 178848 181278 205896 231633 241704 274528 308844 322272 362556 411792 463266 483408 617688 694899 725112 823584 926532 966816 1235376 1389798 1450224 1853064 2084697 2470752 2779596 2900448 3706128 4169394 5559192 7412256 8338788 11118384 16677576 22236768 33355152 66710304