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640106040 = 23357762031
BaseRepresentation
bin100110001001110…
…011111000111000
31122121110202102010
4212021303320320
52302331343130
6143303405520
721601545240
oct4611637070
91577422363
10640106040
112a9361162
1215a4538a0
13a27cb792
1461026b20
153b2e10b0
hex26273e38

640106040 has 64 divisors (see below), whose sum is σ = 2194652160. Its totient is φ = 146309760.

The previous prime is 640106039. The next prime is 640106087. The reversal of 640106040 is 40601046.

640106040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 640105998 and 640106016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380176 + ... + 381855.

It is an arithmetic number, because the mean of its divisors is an integer number (34291440).

Almost surely, 2640106040 is an apocalyptic number.

640106040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

640106040 is an abundant number, since it is smaller than the sum of its proper divisors (1554546120).

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

640106040 is a wasteful number, since it uses less digits than its factorization.

640106040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762052 (or 762048 counting only the distinct ones).

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

The square root of 640106040 is about 25300.3169940616. The cubic root of 640106040 is about 861.8214684374.

Adding to 640106040 its reverse (40601046), we get a palindrome (680707086).

The spelling of 640106040 in words is "six hundred forty million, one hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 762031 1524062 2286093 3048124 3810155 4572186 5334217 6096248 7620310 9144372 10668434 11430465 15240620 16002651 18288744 21336868 22860930 26671085 30481240 32005302 42673736 45721860 53342170 64010604 80013255 91443720 106684340 128021208 160026510 213368680 320053020 640106040