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66142170 = 236543211
BaseRepresentation
bin1111110001001…
…1111111011010
311121110101000000
43330103333122
5113413022140
610321353430
71432125213
oct374237732
9147411000
1066142170
1134376656
121a198876
131091a8a3
148ada40a
155c17a30
hex3f13fda

66142170 has 112 divisors (see below), whose sum is σ = 183519072. Its totient is φ = 17146080.

The previous prime is 66142151. The next prime is 66142183. The reversal of 66142170 is 7124166.

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 55 ways as a sum of consecutive naturals, for example, 313365 + ... + 313575.

Almost surely, 266142170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66142170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91759536).

66142170 is an abundant number, since it is smaller than the sum of its proper divisors (117376902).

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

66142170 is a wasteful number, since it uses less digits than its factorization.

66142170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 66142170 is about 8132.7836562889. The cubic root of 66142170 is about 404.4139672377.

The spelling of 66142170 in words is "sixty-six million, one hundred forty-two thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 211 215 243 258 270 387 405 422 430 486 633 645 729 774 810 1055 1161 1215 1266 1290 1458 1899 1935 2110 2322 2430 3165 3483 3645 3798 3870 5697 5805 6330 6966 7290 9073 9495 10449 11394 11610 17091 17415 18146 18990 20898 27219 28485 31347 34182 34830 45365 51273 52245 54438 56970 62694 81657 85455 90730 102546 104490 136095 153819 156735 163314 170910 244971 256365 272190 307638 313470 408285 489942 512730 734913 769095 816570 1224855 1469826 1538190 2204739 2449710 3674565 4409478 6614217 7349130 11023695 13228434 22047390 33071085 66142170