| Base | Representation |
|---|---|
| bin | 1111111010100… |
| … | …10010011000000 |
| 3 | 100022012211010120 |
| 4 | 13331102103000 |
| 5 | 233134144430 |
| 6 | 21125300240 |
| 7 | 3210533010 |
| oct | 775222300 |
| 9 | 308184116 |
| 10 | 133506240 |
| 11 | 693a723a |
| 12 | 38864680 |
| 13 | 2187569a |
| 14 | 13a33c40 |
| 15 | bac2610 |
| hex | 7f524c0 |
133506240 has 112 divisors (see below), whose sum is σ = 484461312. Its totient is φ = 30514176.
The previous prime is 133506239. The next prime is 133506251. The reversal of 133506240 is 42605331.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×1335062402 = 35647832237875200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 133506240.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3214 + ... + 16653.
Almost surely, 2133506240 is an apocalyptic number.
133506240 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 133506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242230656).
133506240 is an abundant number, since it is smaller than the sum of its proper divisors (350955072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133506240 is a wasteful number, since it uses less digits than its factorization.
133506240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19894 (or 19884 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 24.
The square root of 133506240 is about 11554.4900363452. The cubic root of 133506240 is about 511.0936928882.
Subtracting from 133506240 its reverse (42605331), we obtain a palindrome (90900909).
The spelling of 133506240 in words is "one hundred thirty-three million, five hundred six thousand, two hundred forty".
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