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8133030 = 2325233929
BaseRepresentation
bin11111000001100110100110
3120022012102100
4133001212212
54040224110
6450152530
7126062313
oct37014646
916265370
108133030
114655514
122882746
1318b9b59
141119d0a
15aa9bc0
hex7c19a6

8133030 has 48 divisors (see below), whose sum is σ = 22070880. Its totient is φ = 2073984.

The previous prime is 8133023. The next prime is 8133031. The reversal of 8133030 is 303318.

It is a super-2 number, since 2×81330302 = 132292353961800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8132994 and 8133012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8133031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106 + ... + 4034.

It is an arithmetic number, because the mean of its divisors is an integer number (459810).

Almost surely, 28133030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8133030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11035440).

8133030 is an abundant number, since it is smaller than the sum of its proper divisors (13937850).

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

8133030 is a wasteful number, since it uses less digits than its factorization.

8133030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 8133030 is about 2851.8467700772. The cubic root of 8133030 is about 201.1024946933.

Adding to 8133030 its reverse (303318), we get a palindrome (8436348).

The spelling of 8133030 in words is "eight million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 3929 7858 11787 19645 23574 35361 39290 58935 70722 90367 117870 176805 180734 271101 353610 451835 542202 813303 903670 1355505 1626606 2711010 4066515 8133030