Search a number
-
+
10433214 = 23211232979
BaseRepresentation
bin100111110011…
…001010111110
3201122001200100
4213303022332
510132330324
61011341530
7154452351
oct47631276
921561610
1010433214
1159866a0
1235b18a6
132213acc
141558298
15db14c9
hex9f32be

10433214 has 96 divisors (see below), whose sum is σ = 26956800. Its totient is φ = 2882880.

The previous prime is 10433207. The next prime is 10433231. The reversal of 10433214 is 41233401.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132027 + ... + 132105.

It is an arithmetic number, because the mean of its divisors is an integer number (280800).

Almost surely, 210433214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10433214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478400).

10433214 is an abundant number, since it is smaller than the sum of its proper divisors (16523586).

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

10433214 is a wasteful number, since it uses less digits than its factorization.

10433214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10433214 is about 3230.0486064454. The cubic root of 10433214 is about 218.5106984203.

Adding to 10433214 its reverse (41233401), we get a palindrome (51666615).

The spelling of 10433214 in words is "ten million, four hundred thirty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 29 33 46 58 66 69 79 87 99 138 158 174 198 207 237 253 261 319 414 474 506 522 638 667 711 759 869 957 1334 1422 1518 1738 1817 1914 2001 2277 2291 2607 2871 3634 4002 4554 4582 5214 5451 5742 6003 6873 7337 7821 10902 12006 13746 14674 15642 16353 19987 20619 22011 25201 32706 39974 41238 44022 50402 52693 59961 66033 75603 105386 119922 132066 151206 158079 179883 226809 316158 359766 453618 474237 579623 948474 1159246 1738869 3477738 5216607 10433214