Search a number
-
+
133510080 = 26351147269
BaseRepresentation
bin1111111010100…
…11001111000000
3100022020000101210
413331103033000
5233134310310
621125330120
73210550134
oct775231700
9308200353
10133510080
11693aa110
1238866940
1321877362
1413a353c4
15bac3820
hex7f533c0

133510080 has 224 divisors, whose sum is σ = 474024960. Its totient is φ = 31559680.

The previous prime is 133510037. The next prime is 133510081. The reversal of 133510080 is 80015331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133510081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496186 + ... + 496454.

Almost surely, 2133510080 is an apocalyptic number.

133510080 is a gapful number since it is divisible by the number (10) 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 133510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237012480).

133510080 is an abundant number, since it is smaller than the sum of its proper divisors (340514880).

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

133510080 is a wasteful number, since it uses less digits than its factorization.

133510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 133510080 is about 11554.6562043187. The cubic root of 133510080 is about 511.0985929861.

The spelling of 133510080 in words is "one hundred thirty-three million, five hundred ten thousand, eighty".