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65660166 = 23311213773
BaseRepresentation
bin1111101001111…
…0010100000110
311120112212211000
43322132110012
5113302111131
610303154130
71425050025
oct372362406
9146485730
1065660166
1134077500
1219ba5946
13107ac390
148a128bc
155b6ece6
hex3e9e506

65660166 has 96 divisors (see below), whose sum is σ = 172942560. Its totient is φ = 18342720.

The previous prime is 65660123. The next prime is 65660167. The reversal of 65660166 is 66106656.

It is a super-2 number, since 2×656601662 = 8622514798295112, which contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 65660166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65660167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84556 + ... + 85328.

It is an arithmetic number, because the mean of its divisors is an integer number (1801485).

Almost surely, 265660166 is an apocalyptic number.

65660166 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 65660166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86471280).

65660166 is an abundant number, since it is smaller than the sum of its proper divisors (107282394).

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

65660166 is a wasteful number, since it uses less digits than its factorization.

65660166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 65660166 is about 8103.0960749580. The cubic root of 65660166 is about 403.4291966810.

The spelling of 65660166 in words is "sixty-five million, six hundred sixty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 121 143 198 234 242 286 297 351 363 429 594 702 726 773 858 1089 1287 1546 1573 2178 2319 2574 3146 3267 3861 4638 4719 6534 6957 7722 8503 9438 10049 13914 14157 17006 20098 20871 25509 28314 30147 41742 42471 51018 60294 76527 84942 90441 93533 110539 153054 180882 187066 221078 229581 271323 280599 331617 459162 542646 561198 663234 841797 994851 1215929 1683594 1989702 2431858 2525391 2984553 3647787 5050782 5969106 7295574 10943361 21886722 32830083 65660166