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66640002 = 231113101769
BaseRepresentation
bin1111111000110…
…1100010000010
311122101122220020
43332031202002
5114024440002
610340154310
71436300502
oct376154202
9148348806
1066640002
1134686690
121a398996
1310a63370
148bc9a02
155cb52bc
hex3f8d882

66640002 has 64 divisors (see below), whose sum is σ = 158336640. Its totient is φ = 18432000.

The previous prime is 66639977. The next prime is 66640003. The reversal of 66640002 is 20004666.

66640002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66640003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86274 + ... + 87042.

It is an arithmetic number, because the mean of its divisors is an integer number (2474010).

Almost surely, 266640002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66640002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79168320).

66640002 is an abundant number, since it is smaller than the sum of its proper divisors (91696638).

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

66640002 is a wasteful number, since it uses less digits than its factorization.

66640002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 66640002 is about 8163.3327752824. The cubic root of 66640002 is about 405.4260658662.

Adding to 66640002 its reverse (20004666), we get a palindrome (86644668).

The spelling of 66640002 in words is "sixty-six million, six hundred forty thousand, two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 143 202 286 303 429 606 769 858 1111 1313 1538 2222 2307 2626 3333 3939 4614 6666 7878 8459 9997 14443 16918 19994 25377 28886 29991 43329 50754 59982 77669 86658 109967 155338 219934 233007 329901 466014 659802 854359 1009697 1708718 2019394 2563077 3029091 5126154 6058182 11106667 22213334 33320001 66640002