Search a number
-
+
36160128 = 273310463
BaseRepresentation
bin1000100111110…
…0001010000000
32112001010101000
42021330022000
533224111003
63331012000
7616233054
oct211741200
975033330
1036160128
1119458704
121013a000
137650b34
144b33c64
1532941a3
hex227c280

36160128 has 64 divisors (see below), whose sum is σ = 106732800. Its totient is φ = 12052224.

The previous prime is 36160093. The next prime is 36160141. The reversal of 36160128 is 82106163.

36160128 is a `hidden beast` number, since 36 + 1 + 601 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1776 + ... + 8687.

It is an arithmetic number, because the mean of its divisors is an integer number (1667700).

Almost surely, 236160128 is an apocalyptic number.

It is an amenable number.

36160128 is an abundant number, since it is smaller than the sum of its proper divisors (70572672).

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

36160128 is a wasteful number, since it uses less digits than its factorization.

36160128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10486 (or 10468 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 36160128 is about 6013.3291943814. The cubic root of 36160128 is about 330.6815665618.

The spelling of 36160128 in words is "thirty-six million, one hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 10463 20926 31389 41852 62778 83704 94167 125556 167408 188334 251112 282501 334816 376668 502224 565002 669632 753336 1004448 1130004 1339264 1506672 2008896 2260008 3013344 4017792 4520016 6026688 9040032 12053376 18080064 36160128