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10408104 = 23327107193
BaseRepresentation
bin100111101101…
…000010101000
3201120210020100
4213231002220
510131024404
61011025400
7154316220
oct47550250
921523210
1010408104
115969843
12359b260
132205555
14154d080
15da8d39
hex9ed0a8

10408104 has 96 divisors (see below), whose sum is σ = 32685120. Its totient is φ = 2930688.

The previous prime is 10408093. The next prime is 10408133. The reversal of 10408104 is 40180401.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53832 + ... + 54024.

It is an arithmetic number, because the mean of its divisors is an integer number (340470).

Almost surely, 210408104 is an apocalyptic number.

10408104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10408104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16342560).

10408104 is an abundant number, since it is smaller than the sum of its proper divisors (22277016).

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

10408104 is a wasteful number, since it uses less digits than its factorization.

10408104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10408104 is about 3226.1593265057. The cubic root of 10408104 is about 218.3352583531.

Adding to 10408104 its reverse (40180401), we get a palindrome (50588505).

The spelling of 10408104 in words is "ten million, four hundred eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 107 126 168 193 214 252 321 386 428 504 579 642 749 772 856 963 1158 1284 1351 1498 1544 1737 1926 2247 2316 2568 2702 2996 3474 3852 4053 4494 4632 5404 5992 6741 6948 7704 8106 8988 10808 12159 13482 13896 16212 17976 20651 24318 26964 32424 41302 48636 53928 61953 82604 97272 123906 144557 165208 185859 247812 289114 371718 433671 495624 578228 743436 867342 1156456 1301013 1486872 1734684 2602026 3469368 5204052 10408104