Search a number
-
+
136813284 = 22323800369
BaseRepresentation
bin10000010011110…
…01101011100100
3100112102211112200
420021321223210
5240011011114
621324214500
73250615356
oct1011715344
9315384480
10136813284
1170255933
123999a430
1322462a0a
14142550d6
15c027409
hex8279ae4

136813284 has 18 divisors (see below), whose sum is σ = 345833670. Its totient is φ = 45604416.

The previous prime is 136813283. The next prime is 136813289. The reversal of 136813284 is 482318631.

136813284 is a `hidden beast` number, since 1 + 368 + 13 + 284 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135070884 + 1742400 = 11622^2 + 1320^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3800369 = 136813284 / (1 + 3 + 6 + 8 + 1 + 3 + 2 + 8 + 4).

136813284 is a modest number, since divided by 13284 gives 1368 as remainder.

It is not an unprimeable number, because it can be changed into a prime (136813283) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1900149 + ... + 1900220.

Almost surely, 2136813284 is an apocalyptic number.

It is an amenable number.

136813284 is an abundant number, since it is smaller than the sum of its proper divisors (209020386).

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

136813284 is a wasteful number, since it uses less digits than its factorization.

136813284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800379 (or 3800374 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 136813284 is about 11696.7210790033. The cubic root of 136813284 is about 515.2793708410.

The spelling of 136813284 in words is "one hundred thirty-six million, eight hundred thirteen thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3800369 7600738 11401107 15201476 22802214 34203321 45604428 68406642 136813284