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64106320 = 2451747137
BaseRepresentation
bin1111010010001…
…0111101010000
311110121221100011
43310202331100
5112402400240
610210004304
71405615615
oct364427520
9143557304
1064106320
1133206033
1219576694
1310387045
14872a50c
1559646ea
hex3d22f50

64106320 has 40 divisors (see below), whose sum is σ = 157818024. Its totient is φ = 24133632.

The previous prime is 64106293. The next prime is 64106321. The reversal of 64106320 is 2360146.

64106320 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 4 ways, for example, as 553536 + 63552784 = 744^2 + 7972^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 64106291 and 64106300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64106321) 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 7 ways as a sum of consecutive naturals, for example, 22209 + ... + 24928.

Almost surely, 264106320 is an apocalyptic number.

It is an amenable number.

64106320 is an abundant number, since it is smaller than the sum of its proper divisors (93711704).

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

64106320 is a wasteful number, since it uses less digits than its factorization.

64106320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47167 (or 47161 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 64106320 is about 8006.6422425384. The cubic root of 64106320 is about 400.2213774575.

Adding to 64106320 its reverse (2360146), we get a palindrome (66466466).

The spelling of 64106320 in words is "sixty-four million, one hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 47137 94274 188548 235685 377096 471370 754192 801329 942740 1602658 1885480 3205316 3770960 4006645 6410632 8013290 12821264 16026580 32053160 64106320