Search a number
-
+
135109344 = 2531407389
BaseRepresentation
bin10000000110110…
…01101011100000
3100102020021011210
420003121223200
5234041444334
621223510120
73230260536
oct1003315340
9312207153
10135109344
116a2a1717
12392b8340
1321cb7276
1413d30156
15bcdc5e9
hex80d9ae0

135109344 has 24 divisors (see below), whose sum is σ = 354662280. Its totient is φ = 45036416.

The previous prime is 135109343. The next prime is 135109357. The reversal of 135109344 is 443901531.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1351093442 = 36509069672220672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135109343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 703599 + ... + 703790.

It is an arithmetic number, because the mean of its divisors is an integer number (14777595).

Almost surely, 2135109344 is an apocalyptic number.

It is an amenable number.

135109344 is an abundant number, since it is smaller than the sum of its proper divisors (219552936).

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

135109344 is a wasteful number, since it uses less digits than its factorization.

135109344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407402 (or 1407394 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 135109344 is about 11623.6545027801. The cubic root of 135109344 is about 513.1312470785.

The spelling of 135109344 in words is "one hundred thirty-five million, one hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1407389 2814778 4222167 5629556 8444334 11259112 16888668 22518224 33777336 45036448 67554672 135109344