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1365240132 = 223237923337
BaseRepresentation
bin101000101011111…
…1110100101000100
310112010221101101100
41101113332211010
510244000141012
6343245500100
745555230634
oct12127764504
93463841340
101365240132
11640708133
12321271630
13189acb0c9
14cd4646c4
157ecca8dc
hex515fe944

1365240132 has 18 divisors (see below), whose sum is σ = 3451023758. Its totient is φ = 455080032.

The previous prime is 1365240127. The next prime is 1365240137. The reversal of 1365240132 is 2310425631.

1365240132 is a `hidden beast` number, since 1 + 3 + 6 + 524 + 0 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (1365240127) and next prime (1365240137).

It can be written as a sum of positive squares in only one way, i.e., 1318125636 + 47114496 = 36306^2 + 6864^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 1365240096 and 1365240105.

It is not an unprimeable number, because it can be changed into a prime (1365240137) 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, 18961633 + ... + 18961704.

Almost surely, 21365240132 is an apocalyptic number.

1365240132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1365240132 is an abundant number, since it is smaller than the sum of its proper divisors (2085783626).

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

1365240132 is a wasteful number, since it uses less digits than its factorization.

1365240132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37923347 (or 37923342 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1365240132 is about 36949.1560390762. The cubic root of 1365240132 is about 1109.3527953416.

Adding to 1365240132 its reverse (2310425631), we get a palindrome (3675665763).

The spelling of 1365240132 in words is "one billion, three hundred sixty-five million, two hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37923337 75846674 113770011 151693348 227540022 341310033 455080044 682620066 1365240132