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2133521540 = 225437013539
BaseRepresentation
bin111111100101010…
…1111010010000100
312111200121010100022
41333022233102010
513332140142130
6551412434312
7103604430263
oct17712572204
95450533308
102133521540
119a5354347
124b6618998
132800269a7
141634d45da
15c74897e5
hex7f2af484

2133521540 has 48 divisors (see below), whose sum is σ = 4592427840. Its totient is φ = 832137600.

The previous prime is 2133521531. The next prime is 2133521569. The reversal of 2133521540 is 451253312.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 601091 + ... + 604629.

It is an arithmetic number, because the mean of its divisors is an integer number (95675580).

Almost surely, 22133521540 is an apocalyptic number.

2133521540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133521540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296213920).

2133521540 is an abundant number, since it is smaller than the sum of its proper divisors (2458906300).

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

2133521540 is a wasteful number, since it uses less digits than its factorization.

2133521540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2133521540 is about 46190.0588871675. The cubic root of 2133521540 is about 1287.3570349315.

Adding to 2133521540 its reverse (451253312), we get a palindrome (2584774852).

It can be divided in two parts, 21335 and 21540, that added together give a cube (42875 = 353).

The spelling of 2133521540 in words is "two billion, one hundred thirty-three million, five hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 701 860 1402 2804 3505 3539 7010 7078 14020 14156 17695 30143 35390 60286 70780 120572 150715 152177 301430 304354 602860 608708 760885 1521770 2480839 3043540 4961678 9923356 12404195 24808390 49616780 106676077 213352154 426704308 533380385 1066760770 2133521540