Search a number
-
+
135062928 = 243271113937
BaseRepresentation
bin10000000110011…
…10010110010000
3100102010220111200
420003032112100
5234034003203
621222511200
73230005320
oct1003162620
9312126450
10135062928
116a26a860
1239295500
1321c9c0c0
1413d1b280
15bccd9a3
hex80ce590

135062928 has 240 divisors, whose sum is σ = 508050816. Its totient is φ = 32348160.

The previous prime is 135062899. The next prime is 135062933. The reversal of 135062928 is 829260531.

135062928 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 629 + 28 = 666.

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 = 135062892 and 135062901.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143676 + ... + 144612.

Almost surely, 2135062928 is an apocalyptic number.

135062928 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 135062928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254025408).

135062928 is an abundant number, since it is smaller than the sum of its proper divisors (372987888).

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

135062928 is a wasteful number, since it uses less digits than its factorization.

135062928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 135062928 is about 11621.6577130804. The cubic root of 135062928 is about 513.0724793002.

The spelling of 135062928 in words is "one hundred thirty-five million, sixty-two thousand, nine hundred twenty-eight".