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66019400 = 2352330097
BaseRepresentation
bin1111101111011…
…0000001001000
311121020010120222
43323312001020
5113400110100
610315005212
71431104246
oct373660110
9147203528
1066019400
11342a2397
121a139808
13108a6a45
148aa7796
155be1485
hex3ef6048

66019400 has 24 divisors (see below), whose sum is σ = 153495570. Its totient is φ = 26407680.

The previous prime is 66019351. The next prime is 66019403. The reversal of 66019400 is 491066.

66019400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 57851236 + 8168164 = 7606^2 + 2858^2 .

It is a super-2 number, since 2×660194002 = 8717122352720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66019400.

It is not an unprimeable number, because it can be changed into a prime (66019403) 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 5 ways as a sum of consecutive naturals, for example, 164849 + ... + 165248.

Almost surely, 266019400 is an apocalyptic number.

It is an amenable number.

66019400 is an abundant number, since it is smaller than the sum of its proper divisors (87476170).

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

66019400 is a wasteful number, since it uses less digits than its factorization.

66019400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330113 (or 330104 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 66019400 is about 8125.2323043714. The cubic root of 66019400 is about 404.1635941713.

The spelling of 66019400 in words is "sixty-six million, nineteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 330097 660194 1320388 1650485 2640776 3300970 6601940 8252425 13203880 16504850 33009700 66019400