Base | Representation |
---|---|
bin | 111111111101… |
… | …1010010100100 |
3 | 2100002202120020 |
4 | 1333323102210 |
5 | 32041111030 |
6 | 3154435140 |
7 | 555021042 |
oct | 177732244 |
9 | 70082506 |
10 | 33535140 |
11 | 17a254a1 |
12 | b292ab0 |
13 | 6c420a2 |
14 | 464d392 |
15 | 2e26510 |
hex | 1ffb4a4 |
33535140 has 48 divisors (see below), whose sum is σ = 94597440. Its totient is φ = 8876160.
The previous prime is 33535129. The next prime is 33535147. The reversal of 33535140 is 4153533.
It is a happy number.
It is a super-2 number, since 2×335351402 = 2249211229639200, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 33535140.
It is not an unprimeable number, because it can be changed into a prime (33535147) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6330 + ... + 10350.
It is an arithmetic number, because the mean of its divisors is an integer number (1970780).
Almost surely, 233535140 is an apocalyptic number.
33535140 is a gapful number since it is divisible by the number (30) 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 33535140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47298720).
33535140 is an abundant number, since it is smaller than the sum of its proper divisors (61062300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33535140 is a wasteful number, since it uses less digits than its factorization.
33535140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4172 (or 4170 counting only the distinct ones).
The product of its (nonzero) digits is 2700, while the sum is 24.
The square root of 33535140 is about 5790.9532893989. The cubic root of 33535140 is about 322.4779625588.
Adding to 33535140 its reverse (4153533), we get a palindrome (37688673).
The spelling of 33535140 in words is "thirty-three million, five hundred thirty-five thousand, one hundred forty".
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