Search a number
-
+
33030080 = 265233443
BaseRepresentation
bin111110111111…
…1111111000000
32022011002202022
41331333333000
531423430310
63135541012
7550515416
oct175777700
968132668
1033030080
111770aa96
12b08a768
136ac6235
14455b2b6
152d76a55
hex1f7ffc0

33030080 has 56 divisors (see below), whose sum is σ = 79168752. Its totient is φ = 13125632.

The previous prime is 33030079. The next prime is 33030083. The reversal of 33030080 is 8003033.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33030083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74339 + ... + 74781.

Almost surely, 233030080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39584376).

33030080 is an abundant number, since it is smaller than the sum of its proper divisors (46138672).

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

33030080 is a wasteful number, since it uses less digits than its factorization.

33030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 33030080 is about 5747.1801781395. The cubic root of 33030080 is about 320.8508606080.

The spelling of 33030080 in words is "thirty-three million, thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 233 320 443 466 886 932 1165 1772 1864 2215 2330 3544 3728 4430 4660 7088 7456 8860 9320 14176 14912 17720 18640 28352 35440 37280 70880 74560 103219 141760 206438 412876 516095 825752 1032190 1651504 2064380 3303008 4128760 6606016 8257520 16515040 33030080