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1580328225 = 34527111487
BaseRepresentation
bin101111000110001…
…1110010100100001
311002010122222210000
41132030132110201
511214031000400
6420451530213
754106365630
oct13614362441
94063588700
101580328225
11741065a93
123812b9969
131c2538b78
1410dc53517
1593b15600
hex5e31e521

1580328225 has 60 divisors (see below), whose sum is σ = 3345531904. Its totient is φ = 722429280.

The previous prime is 1580328221. The next prime is 1580328227. The reversal of 1580328225 is 5228230851.

1580328225 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1580328225 - 22 = 1580328221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1580328225.

It is not an unprimeable number, because it can be changed into a prime (1580328221) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41569 + ... + 69918.

Almost surely, 21580328225 is an apocalyptic number.

1580328225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1580328225 is an abundant number, since it is smaller than the sum of its proper divisors (1765203679).

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

1580328225 is a wasteful number, since it uses less digits than its factorization.

1580328225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111516 (or 111502 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1580328225 is about 39753.3423123138. The cubic root of 1580328225 is about 1164.7939304082.

The spelling of 1580328225 in words is "one billion, five hundred eighty million, three hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 525 567 675 945 1575 2025 2835 4725 14175 111487 334461 557435 780409 1003383 1672305 2341227 2787175 3010149 3902045 5016915 7023681 8361525 9030447 11706135 15050745 19510225 21071043 25084575 35118405 45152235 58530675 63213129 75253725 105355215 175592025 225761175 316065645 526776075 1580328225