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66396024 = 2334791297
BaseRepresentation
bin1111110101000…
…1111101111000
311121221021020000
43331101331320
5113444133044
610331033000
71434233262
oct375217570
9147837200
1066396024
113452a352
121a29b760
13109a92b6
148b64b32
155c67d69
hex3f51f78

66396024 has 80 divisors (see below), whose sum is σ = 188469600. Its totient is φ = 21835008.

The previous prime is 66396023. The next prime is 66396061. The reversal of 66396024 is 42069366.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66396024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66396023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50544 + ... + 51840.

It is an arithmetic number, because the mean of its divisors is an integer number (2355870).

Almost surely, 266396024 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 66396024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94234800).

66396024 is an abundant number, since it is smaller than the sum of its proper divisors (122073576).

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

66396024 is a wasteful number, since it uses less digits than its factorization.

66396024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 66396024 is about 8148.3755436283. The cubic root of 66396024 is about 404.9306877270.

The spelling of 66396024 in words is "sixty-six million, three hundred ninety-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 316 324 474 632 648 711 948 1297 1422 1896 2133 2594 2844 3891 4266 5188 5688 6399 7782 8532 10376 11673 12798 15564 17064 23346 25596 31128 35019 46692 51192 70038 93384 102463 105057 140076 204926 210114 280152 307389 409852 420228 614778 819704 840456 922167 1229556 1844334 2459112 2766501 3688668 5533002 7377336 8299503 11066004 16599006 22132008 33198012 66396024