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1327069728 = 25324607881
BaseRepresentation
bin100111100011001…
…0111101000100000
310102111010010102200
41033012113220200
510204212212403
6335403413200
744612622645
oct11706275040
93374103380
101327069728
11621107146
12310524200
13181c2527a
14c8369dcc
157b78aca3
hex4f197a20

1327069728 has 36 divisors (see below), whose sum is σ = 3773855358. Its totient is φ = 442356480.

The previous prime is 1327069721. The next prime is 1327069739. The reversal of 1327069728 is 8279607231.

It can be written as a sum of positive squares in only one way, i.e., 906491664 + 420578064 = 30108^2 + 20508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13270697282 = 3522228125947987968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1327069721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2303653 + ... + 2304228.

Almost surely, 21327069728 is an apocalyptic number.

1327069728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1327069728 is an abundant number, since it is smaller than the sum of its proper divisors (2446785630).

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

1327069728 is a wasteful number, since it uses less digits than its factorization.

1327069728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4607897 (or 4607886 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1327069728 is about 36428.9682533008. The cubic root of 1327069728 is about 1098.9162129785.

The spelling of 1327069728 in words is "one billion, three hundred twenty-seven million, sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4607881 9215762 13823643 18431524 27647286 36863048 41470929 55294572 73726096 82941858 110589144 147452192 165883716 221178288 331767432 442356576 663534864 1327069728