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65690208 = 25322347211
BaseRepresentation
bin1111101010010…
…1101001100000
311120121102000200
43322211221200
5113304041313
610303545200
71425233433
oct372455140
9146542020
1065690208
1134098031
1219bbb200
13107bcc5c
148a1d81a
155b78b73
hex3ea5a60

65690208 has 144 divisors (see below), whose sum is σ = 200019456. Its totient is φ = 20401920.

The previous prime is 65690203. The next prime is 65690221. The reversal of 65690208 is 80209656.

65690208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65690203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311223 + ... + 311433.

It is an arithmetic number, because the mean of its divisors is an integer number (1389024).

Almost surely, 265690208 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 65690208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100009728).

65690208 is an abundant number, since it is smaller than the sum of its proper divisors (134329248).

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

65690208 is a wasteful number, since it uses less digits than its factorization.

65690208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 65690208 is about 8104.9495988562. The cubic root of 65690208 is about 403.4907153191.

The spelling of 65690208 in words is "sixty-five million, six hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 47 48 69 72 92 94 96 138 141 144 184 188 207 211 276 282 288 368 376 414 422 423 552 564 633 736 752 828 844 846 1081 1104 1128 1266 1504 1656 1688 1692 1899 2162 2208 2256 2532 3243 3312 3376 3384 3798 4324 4512 4853 5064 6486 6624 6752 6768 7596 8648 9706 9729 9917 10128 12972 13536 14559 15192 17296 19412 19458 19834 20256 25944 29118 29751 30384 34592 38824 38916 39668 43677 51888 58236 59502 60768 77648 77832 79336 87354 89253 103776 116472 119004 155296 155664 158672 174708 178506 228091 232944 238008 311328 317344 349416 357012 456182 465888 476016 684273 698832 714024 912364 952032 1368546 1397664 1428048 1824728 2052819 2737092 2856096 3649456 4105638 5474184 7298912 8211276 10948368 16422552 21896736 32845104 65690208