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10103664 = 243375689
BaseRepresentation
bin100110100010…
…101101110000
3201000022121210
4212202231300
510041304124
61000320120
7151610514
oct46425560
921008553
1010103664
11578103a
123473040
132129acc
1414b0144
15d48a29
hex9a2b70

10103664 has 40 divisors (see below), whose sum is σ = 26811280. Its totient is φ = 3276288.

The previous prime is 10103659. The next prime is 10103699. The reversal of 10103664 is 46630101.

It is a self number, because there is not a number n which added to its sum of digits gives 10103664.

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 7 ways as a sum of consecutive naturals, for example, 1069 + ... + 4620.

It is an arithmetic number, because the mean of its divisors is an integer number (670282).

Almost surely, 210103664 is an apocalyptic number.

It is an amenable number.

10103664 is an abundant number, since it is smaller than the sum of its proper divisors (16707616).

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

10103664 is a wasteful number, since it uses less digits than its factorization.

10103664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 10103664 is about 3178.6261183096. The cubic root of 10103664 is about 216.1853689934.

Adding to 10103664 its reverse (46630101), we get a palindrome (56733765).

The spelling of 10103664 in words is "ten million, one hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 5689 11378 17067 22756 34134 45512 68268 91024 136536 210493 273072 420986 631479 841972 1262958 1683944 2525916 3367888 5051832 10103664