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630787140 = 223253504373
BaseRepresentation
bin100101100110010…
…000110001000100
31121221221022021200
4211212100301010
52242440142030
6142331542500
721426413364
oct4546206104
91557838250
10630787140
112a4076795
121572baa30
13a08b7c39
145dabc9a4
153a59ed60
hex25990c44

630787140 has 36 divisors (see below), whose sum is σ = 1913388204. Its totient is φ = 168209856.

The previous prime is 630787127. The next prime is 630787147. The reversal of 630787140 is 41787036.

630787140 is a `hidden beast` number, since 630 + 7 + 8 + 7 + 14 + 0 = 666.

630787140 is digitally balanced in base 6, 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 2 ways, for example, as 277422336 + 353364804 = 16656^2 + 18798^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 630787095 and 630787104.

It is not an unprimeable number, because it can be changed into a prime (630787147) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1752007 + ... + 1752366.

Almost surely, 2630787140 is an apocalyptic number.

630787140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630787140 is an abundant number, since it is smaller than the sum of its proper divisors (1282601064).

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

630787140 is a wasteful number, since it uses less digits than its factorization.

630787140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504388 (or 3504383 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 630787140 is about 25115.4761053817. The cubic root of 630787140 is about 857.6187688058.

The spelling of 630787140 in words is "six hundred thirty million, seven hundred eighty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3504373 7008746 10513119 14017492 17521865 21026238 31539357 35043730 42052476 52565595 63078714 70087460 105131190 126157428 157696785 210262380 315393570 630787140