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1253533140 = 223256964073
BaseRepresentation
bin100101010110111…
…0110010111010100
310020100202002012100
41022231312113110
510031401030030
6324215322100
743030566366
oct11255662724
93210662170
101253533140
11593650002
122ab980330
1316c918ab2
14bc6a6d36
15750b2360
hex4ab765d4

1253533140 has 36 divisors (see below), whose sum is σ = 3802384404. Its totient is φ = 334275456.

The previous prime is 1253533121. The next prime is 1253533153. The reversal of 1253533140 is 413353521.

1253533140 is a `hidden beast` number, since 125 + 3 + 533 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 833938884 + 419594256 = 28878^2 + 20484^2 .

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3481857 + ... + 3482216.

It is an arithmetic number, because the mean of its divisors is an integer number (105621789).

Almost surely, 21253533140 is an apocalyptic number.

1253533140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253533140 is an abundant number, since it is smaller than the sum of its proper divisors (2548851264).

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

1253533140 is a wasteful number, since it uses less digits than its factorization.

1253533140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964088 (or 6964083 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1253533140 is about 35405.2699467184. The cubic root of 1253533140 is about 1078.2313128685.

Adding to 1253533140 its reverse (413353521), we get a palindrome (1666886661).

The spelling of 1253533140 in words is "one billion, two hundred fifty-three million, five hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6964073 13928146 20892219 27856292 34820365 41784438 62676657 69640730 83568876 104461095 125353314 139281460 208922190 250706628 313383285 417844380 626766570 1253533140