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1364665040 = 24517058313
BaseRepresentation
bin101000101010111…
…0010001011010000
310112002212011111122
41101111302023100
510243323240130
6343225301412
745550314164
oct12125621320
93462764448
101364665040
11640355052
12321034868
1318995940b
14cd354ca4
157ec152e5
hex515722d0

1364665040 has 20 divisors (see below), whose sum is σ = 3172846404. Its totient is φ = 545865984.

The previous prime is 1364665037. The next prime is 1364665073. The reversal of 1364665040 is 405664631.

It can be written as a sum of positive squares in 2 ways, for example, as 982697104 + 381967936 = 31348^2 + 19544^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 8529077 + ... + 8529236.

Almost surely, 21364665040 is an apocalyptic number.

1364665040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1364665040 is an abundant number, since it is smaller than the sum of its proper divisors (1808181364).

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

1364665040 is a wasteful number, since it uses less digits than its factorization.

1364665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17058326 (or 17058320 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 1364665040 is about 36941.3730118413. The cubic root of 1364665040 is about 1109.1970060157.

The spelling of 1364665040 in words is "one billion, three hundred sixty-four million, six hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 17058313 34116626 68233252 85291565 136466504 170583130 272933008 341166260 682332520 1364665040