Search a number
-
+
136752448 = 267383797
BaseRepresentation
bin10000010011010…
…10110101000000
3100112022202002111
420021222311000
5240002034243
621323025104
73250243120
oct1011526500
9315282074
10136752448
1170214158
123996b194
1322441111
141423ac80
15c01439d
hex826ad40

136752448 has 56 divisors (see below), whose sum is σ = 311334912. Its totient is φ = 58381824.

The previous prime is 136752431. The next prime is 136752449. The reversal of 136752448 is 844257631.

136752448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 136752448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136752449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171186 + ... + 171982.

It is an arithmetic number, because the mean of its divisors is an integer number (5559552).

Almost surely, 2136752448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136752448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155667456).

136752448 is an abundant number, since it is smaller than the sum of its proper divisors (174582464).

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

136752448 is an equidigital number, since it uses as much as digits as its factorization.

136752448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1189 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 136752448 is about 11694.1202319798. The cubic root of 136752448 is about 515.2029840497.

The spelling of 136752448 in words is "one hundred thirty-six million, seven hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 383 448 766 797 1532 1594 2681 3064 3188 5362 5579 6128 6376 10724 11158 12256 12752 21448 22316 24512 25504 42896 44632 51008 85792 89264 171584 178528 305251 357056 610502 1221004 2136757 2442008 4273514 4884016 8547028 9768032 17094056 19536064 34188112 68376224 136752448