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66990080 = 21253271
BaseRepresentation
bin1111111110001…
…1000000000000
311200001110010002
43333203000000
5114122140310
610351455132
71442256233
oct377430000
9150043102
1066990080
11348a5703
121a5274a8
1310b56801
148c7b41a
155d33da5
hex3fe3000

66990080 has 52 divisors (see below), whose sum is σ = 160805712. Its totient is φ = 26787840.

The previous prime is 66990071. The next prime is 66990089. The reversal of 66990080 is 8009966.

It is an interprime number because it is at equal distance from previous prime (66990071) and next prime (66990089).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (66990089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18845 + ... + 22115.

Almost surely, 266990080 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 66990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80402856).

66990080 is an abundant number, since it is smaller than the sum of its proper divisors (93815632).

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

66990080 is an equidigital number, since it uses as much as digits as its factorization.

66990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 66990080 is about 8184.7467889972. The cubic root of 66990080 is about 406.1347640019.

The spelling of 66990080 in words is "sixty-six million, nine hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 3271 4096 5120 6542 10240 13084 16355 20480 26168 32710 52336 65420 104672 130840 209344 261680 418688 523360 837376 1046720 1674752 2093440 3349504 4186880 6699008 8373760 13398016 16747520 33495040 66990080