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64043040 = 2535235801
BaseRepresentation
bin1111010001001…
…1100000100000
311110111201112110
43310103200200
5112343334130
610204355320
71405233255
oct364234040
9143451473
1064043040
1133172536
1219545b40
13103642b9
14871142c
155950ab0
hex3d13820

64043040 has 96 divisors (see below), whose sum is σ = 210542976. Its totient is φ = 16332800.

The previous prime is 64043011. The next prime is 64043047. The reversal of 64043040 is 4034046.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 64042998 and 64043016.

It is not an unprimeable number, because it can be changed into a prime (64043047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8140 + ... + 13940.

It is an arithmetic number, because the mean of its divisors is an integer number (2193156).

Almost surely, 264043040 is an apocalyptic number.

64043040 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 64043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105271488).

64043040 is an abundant number, since it is smaller than the sum of its proper divisors (146499936).

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

64043040 is a wasteful number, since it uses less digits than its factorization.

64043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 64043040 is about 8002.6895478958. The cubic root of 64043040 is about 400.0896465739.

Adding to 64043040 its reverse (4034046), we get a palindrome (68077086).

The spelling of 64043040 in words is "sixty-four million, forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 5801 11040 11602 17403 23204 29005 34806 46408 58010 69612 87015 92816 116020 133423 139224 174030 185632 232040 266846 278448 348060 400269 464080 533692 556896 667115 696120 800538 928160 1067384 1334230 1392240 1601076 2001345 2134768 2668460 2784480 3202152 4002690 4269536 5336920 6404304 8005380 10673840 12808608 16010760 21347680 32021520 64043040