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66097024 = 277711039
BaseRepresentation
bin1111110000100…
…0111110000000
311121101002001221
43330020332000
5113410101044
610320404424
71431546460
oct374107600
9147332057
1066097024
1134345744
121a176714
1310903186
148ac7ba0
155c09484
hex3f08f80

66097024 has 64 divisors (see below), whose sum is σ = 152755200. Its totient is φ = 27901440.

The previous prime is 66097021. The next prime is 66097039. The reversal of 66097024 is 42079066.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66097021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63097 + ... + 64135.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 266097024 is an apocalyptic number.

66097024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66097024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76377600).

66097024 is an abundant number, since it is smaller than the sum of its proper divisors (86658176).

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

66097024 is a wasteful number, since it uses less digits than its factorization.

66097024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 66097024 is about 8130.0076260727. The cubic root of 66097024 is about 404.3219340284.

The spelling of 66097024 in words is "sixty-six million, ninety-seven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 284 448 497 568 896 994 1039 1136 1988 2078 2272 3976 4156 4544 7273 7952 8312 9088 14546 15904 16624 29092 31808 33248 58184 63616 66496 73769 116368 132992 147538 232736 295076 465472 516383 590152 930944 1032766 1180304 2065532 2360608 4131064 4721216 8262128 9442432 16524256 33048512 66097024