Base | Representation |
---|---|
bin | 111111001011… |
… | …1010101100010 |
3 | 2022022221221220 |
4 | 1332113111202 |
5 | 31440010410 |
6 | 3141555510 |
7 | 551364321 |
oct | 176272542 |
9 | 68287856 |
10 | 33125730 |
11 | 17775940 |
12 | b115b96 |
13 | 6b2a931 |
14 | 45840b8 |
15 | 2d95070 |
hex | 1f97562 |
33125730 has 64 divisors (see below), whose sum is σ = 89106048. Its totient is φ = 7810560.
The previous prime is 33125723. The next prime is 33125731. The reversal of 33125730 is 3752133.
33125730 is a nontrivial binomial coefficient, being equal to C(8140, 2).
It is a self number, because there is not a number n which added to its sum of digits gives 33125730.
It is not an unprimeable number, because it can be changed into a prime (33125731) 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, 10854 + ... + 13566.
It is an arithmetic number, because the mean of its divisors is an integer number (1392282).
Almost surely, 233125730 is an apocalyptic number.
33125730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
33125730 is the 8139-th triangular number and also the 4070-th hexagonal number.
It is a practical number, because each smaller number is the sum of distinct divisors of 33125730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44553024).
33125730 is an abundant number, since it is smaller than the sum of its proper divisors (55980318).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33125730 is a wasteful number, since it uses less digits than its factorization.
33125730 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2771.
The product of its (nonzero) digits is 1890, while the sum is 24.
The square root of 33125730 is about 5755.4956346087. The cubic root of 33125730 is about 321.1602736085.
Adding to 33125730 its reverse (3752133), we get a palindrome (36877863).
The spelling of 33125730 in words is "thirty-three million, one hundred twenty-five thousand, seven hundred thirty".
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