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641015040 = 2835166931
BaseRepresentation
bin100110001101010…
…001110100000000
31122200011221022210
4212031101310000
52303044440130
6143335102120
721612352341
oct4615216400
91580157283
10641015040
112a99220a6
1215a811940
13a2a59453
14611c20c8
153b4205b0
hex26351d00

641015040 has 72 divisors (see below), whose sum is σ = 2047254048. Its totient is φ = 170936320.

The previous prime is 641015017. The next prime is 641015057. The reversal of 641015040 is 40510146.

It is a junction number, because it is equal to n+sod(n) for n = 641014998 and 641015016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79626 + ... + 87305.

It is an arithmetic number, because the mean of its divisors is an integer number (28434084).

Almost surely, 2641015040 is an apocalyptic number.

641015040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

641015040 is an abundant number, since it is smaller than the sum of its proper divisors (1406239008).

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

641015040 is a wasteful number, since it uses less digits than its factorization.

641015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166955 (or 166941 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 641015040 is about 25318.2748227441. The cubic root of 641015040 is about 862.2292264914.

Adding to 641015040 its reverse (40510146), we get a palindrome (681525186).

The spelling of 641015040 in words is "six hundred forty-one million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 166931 333862 500793 667724 834655 1001586 1335448 1669310 2003172 2503965 2670896 3338620 4006344 5007930 5341792 6677240 8012688 10015860 10683584 13354480 16025376 20031720 21367168 26708960 32050752 40063440 42734336 53417920 64101504 80126880 106835840 128203008 160253760 213671680 320507520 641015040