Search a number
-
+
1327353140 = 22566367657
BaseRepresentation
bin100111100011101…
…1100110100110100
310102111122112012102
41033013130310310
510204300300030
6335413441232
744615213141
oct11707346464
93374575172
101327353140
11621290073
12310640218
13181cc4279
14c84013c8
157b7e4c45
hex4f1dcd34

1327353140 has 12 divisors (see below), whose sum is σ = 2787441636. Its totient is φ = 530941248.

The previous prime is 1327353121. The next prime is 1327353193. The reversal of 1327353140 is 413537231.

It can be written as a sum of positive squares in 2 ways, for example, as 219395344 + 1107957796 = 14812^2 + 33286^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33183809 + ... + 33183848.

It is an arithmetic number, because the mean of its divisors is an integer number (232286803).

Almost surely, 21327353140 is an apocalyptic number.

1327353140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327353140 is an abundant number, since it is smaller than the sum of its proper divisors (1460088496).

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

1327353140 is a wasteful number, since it uses less digits than its factorization.

1327353140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66367666 (or 66367664 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 1327353140 is about 36432.8579718913. The cubic root of 1327353140 is about 1098.9944364174.

The spelling of 1327353140 in words is "one billion, three hundred twenty-seven million, three hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 66367657 132735314 265470628 331838285 663676570 1327353140