Search a number
-
+
1033230030 = 23575698647
BaseRepresentation
bin111101100101011…
…101011011001110
32200000012112010220
4331211131123032
54104001330110
6250305412210
734414211310
oct7545353316
92600175126
101033230030
11490260018
1224a03a066
131360a3421
149b31b7b0
1560a97370
hex3d95d6ce

1033230030 has 64 divisors (see below), whose sum is σ = 2839311360. Its totient is φ = 235724544.

The previous prime is 1033230001. The next prime is 1033230049. The reversal of 1033230030 is 300323301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 1033229991 and 1033230009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115167 + ... + 123813.

It is an arithmetic number, because the mean of its divisors is an integer number (44364240).

Almost surely, 21033230030 is an apocalyptic number.

1033230030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033230030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419655680).

1033230030 is an abundant number, since it is smaller than the sum of its proper divisors (1806081330).

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

1033230030 is a wasteful number, since it uses less digits than its factorization.

1033230030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9233.

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 1033230030 is about 32143.8956879841. The cubic root of 1033230030 is about 1010.9561999611.

Adding to 1033230030 its reverse (300323301), we get a palindrome (1333553331).

The spelling of 1033230030 in words is "one billion, thirty-three million, two hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 569 1138 1707 2845 3414 3983 5690 7966 8535 8647 11949 17070 17294 19915 23898 25941 39830 43235 51882 59745 60529 86470 119490 121058 129705 181587 259410 302645 363174 605290 907935 1815870 4920143 9840286 14760429 24600715 29520858 34441001 49201430 68882002 73802145 103323003 147604290 172205005 206646006 344410010 516615015 1033230030