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64040220 = 2235513177
BaseRepresentation
bin1111010001001…
…0110100011100
311110111120200000
43310102310130
5112343241340
610204334300
71405222116
oct364226434
9143446600
1064040220
1133170402
1219544390
1310362c2a
1487103b6
15594ed30
hex3d12d1c

64040220 has 72 divisors (see below), whose sum is σ = 201465264. Its totient is φ = 17076096.

The previous prime is 64040209. The next prime is 64040231. The reversal of 64040220 is 2204046.

64040220 is a `hidden beast` number, since 640 + 4 + 0 + 2 + 20 = 666.

64040220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64040209) and next prime (64040231).

It is a super-2 number, since 2×640402202 = 8202299555296800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 64040193 and 64040202.

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 23 ways as a sum of consecutive naturals, for example, 1729 + ... + 11448.

Almost surely, 264040220 is an apocalyptic number.

64040220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100732632).

64040220 is an abundant number, since it is smaller than the sum of its proper divisors (137425044).

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

64040220 is a wasteful number, since it uses less digits than its factorization.

64040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13201 (or 13187 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 64040220 is about 8002.5133551904. The cubic root of 64040220 is about 400.0837741202.

Adding to 64040220 its reverse (2204046), we get a palindrome (66244266).

The spelling of 64040220 in words is "sixty-four million, forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 13177 26354 39531 52708 65885 79062 118593 131770 158124 197655 237186 263540 355779 395310 474372 592965 711558 790620 1067337 1185930 1423116 1778895 2134674 2371860 3202011 3557790 4269348 5336685 6404022 7115580 10673370 12808044 16010055 21346740 32020110 64040220