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2050320132 = 2232723373449
BaseRepresentation
bin111101000110101…
…0110011100000100
312021220001001110200
41322031112130010
513144340221012
6535241250500
7101544301500
oct17215263404
95256031420
102050320132
11962396953
12492793a30
13268a153a3
14156437300
15c00023dc
hex7a356704

2050320132 has 108 divisors (see below), whose sum is σ = 6048560700. Its totient is φ = 583898112.

The previous prime is 2050320047. The next prime is 2050320133. The reversal of 2050320132 is 2310230502.

It can be written as a sum of positive squares in 2 ways, for example, as 189778176 + 1860541956 = 13776^2 + 43134^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2050320133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 592744 + ... + 596192.

Almost surely, 22050320132 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 2050320132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024280350).

2050320132 is an abundant number, since it is smaller than the sum of its proper divisors (3998240568).

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

2050320132 is a wasteful number, since it uses less digits than its factorization.

2050320132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2050320132 is about 45280.4608192099. The cubic root of 2050320132 is about 1270.4002152809.

Adding to 2050320132 its reverse (2310230502), we get a palindrome (4360550634).

The spelling of 2050320132 in words is "two billion, fifty million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 337 441 588 674 882 1011 1348 1764 2022 2359 3033 3449 4044 4718 6066 6898 7077 9436 10347 12132 13796 14154 16513 20694 21231 24143 28308 31041 33026 41388 42462 48286 49539 62082 66052 72429 84924 96572 99078 124164 144858 148617 169001 198156 217287 289716 297234 338002 434574 507003 594468 676004 869148 1014006 1162313 1521009 2028012 2324626 3042018 3486939 4649252 6084036 6973878 8136191 10460817 13947756 16272382 20921634 24408573 32544764 41843268 48817146 56953337 73225719 97634292 113906674 146451438 170860011 227813348 292902876 341720022 512580033 683440044 1025160066 2050320132