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66146420 = 2256749363
BaseRepresentation
bin1111110001010…
…1000001110100
311121110120211102
43330111001310
5113413141140
610321425232
71432143464
oct374250164
9147416742
1066146420
113437986a
121a19b218
131091c7c2
148adbba4
155c18e15
hex3f15074

66146420 has 24 divisors (see below), whose sum is σ = 140983584. Its totient is φ = 26063136.

The previous prime is 66146401. The next prime is 66146441. The reversal of 66146420 is 2464166.

66146420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23342 + ... + 26021.

It is an arithmetic number, because the mean of its divisors is an integer number (5874316).

Almost surely, 266146420 is an apocalyptic number.

It is an amenable number.

66146420 is an abundant number, since it is smaller than the sum of its proper divisors (74837164).

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

66146420 is a wasteful number, since it uses less digits than its factorization.

66146420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49439 (or 49437 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 66146420 is about 8133.0449402422. The cubic root of 66146420 is about 404.4226289964.

It can be divided in two parts, 66146 and 420, that added together give a palindrome (66566).

The spelling of 66146420 in words is "sixty-six million, one hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 49363 98726 197452 246815 493630 987260 3307321 6614642 13229284 16536605 33073210 66146420