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1327582096 = 2491092
BaseRepresentation
bin100111100100001…
…0100101110010000
310102112002011021021
41033020110232100
510204330111341
6335422405224
744620155511
oct11710245620
93375064237
101327582096
11621427095
12310730814
13182074549
14c8460a08
157b83c9d1
hex4f214b90

1327582096 has 15 divisors (see below), whose sum is σ = 2572472721. Its totient is φ = 663718176.

The previous prime is 1327582027. The next prime is 1327582111. The reversal of 1327582096 is 6902857231.

The square root of 1327582096 is 36436.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 149719696 + 1177862400 = 12236^2 + 34320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 141190 + ... + 150298.

Almost surely, 21327582096 is an apocalyptic number.

1327582096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1327582096 is the 36436-th square number.

It is an amenable number.

1327582096 is a deficient number, since it is larger than the sum of its proper divisors (1244890625).

1327582096 is an frugal number, since it uses more digits than its factorization.

1327582096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18226 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The cubic root of 1327582096 is about 1099.0576215378.

The spelling of 1327582096 in words is "one billion, three hundred twenty-seven million, five hundred eighty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 9109 18218 36436 72872 145744 82973881 165947762 331895524 663791048 1327582096