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10433104 = 2411217317
BaseRepresentation
bin100111110011…
…001001010000
3201122001112021
4213303021100
510132324404
61011341224
7154452133
oct47631120
921561467
1010433104
115986600
1235b1814
132213a46
14155821a
15db1454
hex9f3250

10433104 has 60 divisors (see below), whose sum is σ = 23600052. Its totient is φ = 4449280.

The previous prime is 10433083. The next prime is 10433113. The reversal of 10433104 is 40133401.

It can be written as a sum of positive squares in 2 ways, for example, as 3920400 + 6512704 = 1980^2 + 2552^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32754 + ... + 33070.

Almost surely, 210433104 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 10433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11800026).

10433104 is an abundant number, since it is smaller than the sum of its proper divisors (13166948).

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

10433104 is a wasteful number, since it uses less digits than its factorization.

10433104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 10433104 is about 3230.0315787930. The cubic root of 10433104 is about 218.5099304799.

Adding to 10433104 its reverse (40133401), we get a palindrome (50566505).

The spelling of 10433104 in words is "ten million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 317 374 484 634 748 968 1268 1496 1936 2057 2536 2992 3487 4114 5072 5389 6974 8228 10778 13948 16456 21556 27896 32912 38357 43112 55792 59279 76714 86224 118558 153428 237116 306856 474232 613712 652069 948464 1304138 2608276 5216552 10433104