Search a number
-
+
136445328 = 24321098693
BaseRepresentation
bin10000010000111…
…11110110010000
3100111202010210200
420020133312100
5234412222303
621312255200
73244523535
oct1010376620
9314663720
10136445328
1170024438
1239841500
13223643a6
141419ad8c
15bea33a3
hex821fd90

136445328 has 60 divisors (see below), whose sum is σ = 385405020. Its totient is φ = 45059328.

The previous prime is 136445317. The next prime is 136445333. The reversal of 136445328 is 823544631.

136445328 is a `hidden beast` number, since 1 + 3 + 644 + 5 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44515584 + 91929744 = 6672^2 + 9588^2 .

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 = 136445292 and 136445301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11350 + ... + 20042.

It is an arithmetic number, because the mean of its divisors is an integer number (6423417).

Almost surely, 2136445328 is an apocalyptic number.

136445328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136445328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192702510).

136445328 is an abundant number, since it is smaller than the sum of its proper divisors (248959692).

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

136445328 is a wasteful number, since it uses less digits than its factorization.

136445328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8816 (or 8807 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 136445328 is about 11680.9814656132. The cubic root of 136445328 is about 514.8170123136.

Adding to 136445328 its reverse (823544631), we get a palindrome (959989959).

The spelling of 136445328 in words is "one hundred thirty-six million, four hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 872 981 1308 1744 1962 2616 3924 5232 7848 8693 15696 17386 26079 34772 52158 69544 78237 104316 139088 156474 208632 312948 417264 625896 947537 1251792 1895074 2842611 3790148 5685222 7580296 8527833 11370444 15160592 17055666 22740888 34111332 45481776 68222664 136445328