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635144140 = 225172238377
BaseRepresentation
bin100101110110111…
…000011111001100
31122021010122222001
4211312320133030
52300044103030
6143005202044
721511431121
oct4566703714
91567118861
10635144140
112a6582214
12158860324
13a1782147
14604d4748
153ab60cca
hex25db87cc

635144140 has 48 divisors (see below), whose sum is σ = 1418764032. Its totient is φ = 238012416.

The previous prime is 635144131. The next prime is 635144143. The reversal of 635144140 is 41441536.

It is a junction number, because it is equal to n+sod(n) for n = 635144099 and 635144108.

It is not an unprimeable number, because it can be changed into a prime (635144143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71632 + ... + 80008.

It is an arithmetic number, because the mean of its divisors is an integer number (29557584).

Almost surely, 2635144140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 635144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709382016).

635144140 is an abundant number, since it is smaller than the sum of its proper divisors (783619892).

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

635144140 is a wasteful number, since it uses less digits than its factorization.

635144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8624 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 635144140 is about 25202.0661851365. The cubic root of 635144140 is about 859.5888335588.

Adding to 635144140 its reverse (41441536), we get a palindrome (676585676).

The spelling of 635144140 in words is "six hundred thirty-five million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 223 340 446 892 1115 2230 3791 4460 7582 8377 15164 16754 18955 33508 37910 41885 75820 83770 142409 167540 284818 569636 712045 1424090 1868071 2848180 3736142 7472284 9340355 18680710 31757207 37361420 63514414 127028828 158786035 317572070 635144140