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2045130320 = 24525564129
BaseRepresentation
bin111100111100110…
…0011011001010000
312021112021101101102
41321321203121100
513142023132240
6534534123532
7101452215032
oct17171433120
95245241342
102045130320
1195a471752
12490ab05a8
132679190ac
14155885c52
15be829815
hex79e63650

2045130320 has 20 divisors (see below), whose sum is σ = 4754928180. Its totient is φ = 818052096.

The previous prime is 2045130313. The next prime is 2045130323. The reversal of 2045130320 is 230315402.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1053132304 + 991998016 = 32452^2 + 31496^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2045130292 and 2045130301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045130323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12781985 + ... + 12782144.

It is an arithmetic number, because the mean of its divisors is an integer number (237746409).

Almost surely, 22045130320 is an apocalyptic number.

2045130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045130320 is an abundant number, since it is smaller than the sum of its proper divisors (2709797860).

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

2045130320 is a wasteful number, since it uses less digits than its factorization.

2045130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25564142 (or 25564136 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2045130320 is about 45223.1170973430. The cubic root of 2045130320 is about 1269.3274219952.

Adding to 2045130320 its reverse (230315402), we get a palindrome (2275445722).

The spelling of 2045130320 in words is "two billion, forty-five million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25564129 51128258 102256516 127820645 204513032 255641290 409026064 511282580 1022565160 2045130320