Search a number
-
+
135002448 = 24327219253
BaseRepresentation
bin10000000101111…
…11100101010000
3100102000211112200
420002333211100
5234030034243
621221323200
73226334100
oct1002774520
9312024480
10135002448
116a229379
1239266500
1321c7a709
1413d03200
15bcbaad3
hex80bf950

135002448 has 270 divisors, whose sum is σ = 472605354. Its totient is φ = 35852544.

The previous prime is 135002437. The next prime is 135002449. The reversal of 135002448 is 844200531.

It can be written as a sum of positive squares in only one way, i.e., 124813584 + 10188864 = 11172^2 + 3192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135002449) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2547190 + ... + 2547242.

Almost surely, 2135002448 is an apocalyptic number.

135002448 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 135002448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236302677).

135002448 is an abundant number, since it is smaller than the sum of its proper divisors (337602906).

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

135002448 is a wasteful number, since it uses less digits than its factorization.

135002448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 135002448 is about 11619.0553832917. The cubic root of 135002448 is about 512.9958847407.

Adding to 135002448 its reverse (844200531), we get a palindrome (979202979).

The spelling of 135002448 in words is "one hundred thirty-five million, two thousand, four hundred forty-eight".