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66575145 = 357131719151
BaseRepresentation
bin1111110111110…
…1101100101001
311122021100221010
43331331230221
5114020401040
610334534133
71435610430
oct375755451
9148240833
1066575145
113464198a
121a367349
1310a3c9a0
148bb0117
155ca0e80
hex3f7db29

66575145 has 128 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 24883200.

The previous prime is 66575143. The next prime is 66575147. The reversal of 66575145 is 54157566.

It is an interprime number because it is at equal distance from previous prime (66575143) and next prime (66575147).

It is not a de Polignac number, because 66575145 - 21 = 66575143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (66575143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 440820 + ... + 440970.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 266575145 is an apocalyptic number.

66575145 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66575145 is an abundant number, since it is smaller than the sum of its proper divisors (80512215).

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

66575145 is a wasteful number, since it uses less digits than its factorization.

66575145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215.

The product of its digits is 126000, while the sum is 39.

The square root of 66575145 is about 8159.3593498509. The cubic root of 66575145 is about 405.2944969758.

The spelling of 66575145 in words is "sixty-six million, five hundred seventy-five thousand, one hundred forty-five".

Divisors: 1 3 5 7 13 15 17 19 21 35 39 51 57 65 85 91 95 105 119 133 151 195 221 247 255 273 285 323 357 399 453 455 595 663 665 741 755 969 1057 1105 1235 1365 1547 1615 1729 1785 1963 1995 2261 2265 2567 2869 3171 3315 3705 4199 4641 4845 5187 5285 5889 6783 7701 7735 8607 8645 9815 11305 12597 12835 13741 14345 15855 17969 20083 20995 23205 25935 29393 29445 33371 33915 37297 38505 41223 43035 48773 53907 60249 62985 68705 88179 89845 100113 100415 111891 146319 146965 166855 186485 206115 233597 243865 261079 269535 301245 341411 440895 500565 559455 634049 700791 731595 783237 1024233 1167985 1305395 1707055 1902147 3170245 3503955 3916185 4438343 5121165 9510735 13315029 22191715 66575145