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66020004 = 22324144729
BaseRepresentation
bin1111101111011…
…0001010100100
311121020011102100
43323312022210
5113400120004
610315012100
71431106101
oct373661244
9147204370
1066020004
11342a2896
121a13a030
13108a70bb
148aa7aa8
155be1739
hex3ef62a4

66020004 has 36 divisors (see below), whose sum is σ = 170958060. Its totient is φ = 21469440.

The previous prime is 66019973. The next prime is 66020011. The reversal of 66020004 is 40002066.

66020004 is a `hidden beast` number, since 660 + 2 + 0 + 0 + 0 + 4 = 666.

66020004 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 24029604 + 41990400 = 4902^2 + 6480^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20889 + ... + 23840.

It is an arithmetic number, because the mean of its divisors is an integer number (4748835).

Almost surely, 266020004 is an apocalyptic number.

It is an amenable number.

66020004 is an abundant number, since it is smaller than the sum of its proper divisors (104938056).

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

66020004 is a wasteful number, since it uses less digits than its factorization.

66020004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44780 (or 44775 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 66020004 is about 8125.2694724544. The cubic root of 66020004 is about 404.1648267084.

The spelling of 66020004 in words is "sixty-six million, twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 44729 89458 134187 178916 268374 402561 536748 805122 1610244 1833889 3667778 5501667 7335556 11003334 16505001 22006668 33010002 66020004