Search a number
-
+
10606404 = 2232383463
BaseRepresentation
bin101000011101…
…011101000100
3201221212020210
4220131131010
510203401104
61015155420
7156103314
oct50353504
921855223
1010606404
115a94826
123675b70
1322748a3
1415a1444
15de7989
hexa1d744

10606404 has 48 divisors (see below), whose sum is σ = 26191872. Its totient is φ = 3333792.

The previous prime is 10606369. The next prime is 10606411. The reversal of 10606404 is 40460601.

It is a super-2 number, since 2×106064042 = 224991611622432, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 22677 + ... + 23139.

It is an arithmetic number, because the mean of its divisors is an integer number (545664).

Almost surely, 210606404 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 10606404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13095936).

10606404 is an abundant number, since it is smaller than the sum of its proper divisors (15585468).

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

10606404 is a wasteful number, since it uses less digits than its factorization.

10606404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10606404 is about 3256.7474572033. The cubic root of 10606404 is about 219.7131523261.

It can be divided in two parts, 10606 and 404, that multiplied together give a palindrome (4284824).

The spelling of 10606404 in words is "ten million, six hundred six thousand, four hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 83 92 138 166 249 276 332 463 498 926 996 1389 1852 1909 2778 3818 5556 5727 7636 10649 11454 21298 22908 31947 38429 42596 63894 76858 115287 127788 153716 230574 461148 883867 1767734 2651601 3535468 5303202 10606404