Search a number
-
+
135049644 = 223219197441
BaseRepresentation
bin10000000110010…
…11000110101100
3100102010020021200
420003023012230
5234033042034
621222325500
73226621512
oct1003130654
9312106250
10135049644
116a260884
1239289890
1321c96042
1413d164b2
15bcc9a99
hex80cb1ac

135049644 has 36 divisors (see below), whose sum is σ = 359344440. Its totient is φ = 42647040.

The previous prime is 135049639. The next prime is 135049661. The reversal of 135049644 is 446940531.

135049644 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 4 + 9 + 644 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135049599 and 135049608.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 98037 + ... + 99404.

It is an arithmetic number, because the mean of its divisors is an integer number (9981790).

Almost surely, 2135049644 is an apocalyptic number.

It is an amenable number.

135049644 is an abundant number, since it is smaller than the sum of its proper divisors (224294796).

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

135049644 is a wasteful number, since it uses less digits than its factorization.

135049644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197470 (or 197465 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 135049644 is about 11621.0861798715. The cubic root of 135049644 is about 513.0556578122.

The spelling of 135049644 in words is "one hundred thirty-five million, forty-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 197441 394882 592323 789764 1184646 1776969 2369292 3553938 3751379 7107876 7502758 11254137 15005516 22508274 33762411 45016548 67524822 135049644