Search a number
-
+
66401040 = 2435276671
BaseRepresentation
bin1111110101001…
…1001100010000
311121221112002210
43331103030100
5113444313130
610331112120
71434254016
oct375231420
9147845083
1066401040
11345330a2
121a2a2640
13109ab674
148b668b6
155c695b0
hex3f53310

66401040 has 40 divisors (see below), whose sum is σ = 205843968. Its totient is φ = 17706880.

The previous prime is 66401011. The next prime is 66401053. The reversal of 66401040 is 4010466.

66401040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×664010402 = 8818196226163200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66400998 and 66401016.

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, 138096 + ... + 138575.

Almost surely, 266401040 is an apocalyptic number.

66401040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66401040 is an abundant number, since it is smaller than the sum of its proper divisors (139442928).

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

66401040 is a wasteful number, since it uses less digits than its factorization.

66401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276687 (or 276681 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 66401040 is about 8148.6833292256. The cubic root of 66401040 is about 404.9408845282.

It can be divided in two parts, 6 and 6401040, that added together give a palindrome (6401046).

The spelling of 66401040 in words is "sixty-six million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 276671 553342 830013 1106684 1383355 1660026 2213368 2766710 3320052 4150065 4426736 5533420 6640104 8300130 11066840 13280208 16600260 22133680 33200520 66401040