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10424106 = 23371123109
BaseRepresentation
bin100111110000…
…111100101010
3201121121012000
4213300330222
510132032411
61011231430
7154413660
oct47607452
921547160
1010424106
11597a870
1235a8576
13220c914
141554c30
15dad956
hex9f0f2a

10424106 has 128 divisors (see below), whose sum is σ = 30412800. Its totient is φ = 2566080.

The previous prime is 10424101. The next prime is 10424119. The reversal of 10424106 is 60142401.

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

It is not an unprimeable number, because it can be changed into a prime (10424101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95580 + ... + 95688.

It is an arithmetic number, because the mean of its divisors is an integer number (237600).

Almost surely, 210424106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206400).

10424106 is an abundant number, since it is smaller than the sum of its proper divisors (19988694).

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

10424106 is a wasteful number, since it uses less digits than its factorization.

10424106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10424106 is about 3228.6384127059. The cubic root of 10424106 is about 218.4470946623.

Adding to 10424106 its reverse (60142401), we get a palindrome (70566507).

The spelling of 10424106 in words is "ten million, four hundred twenty-four thousand, one hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 27 33 42 46 54 63 66 69 77 99 109 126 138 154 161 189 198 207 218 231 253 297 322 327 378 414 462 483 506 594 621 654 693 759 763 966 981 1199 1242 1386 1449 1518 1526 1771 1962 2079 2277 2289 2398 2507 2898 2943 3542 3597 4158 4347 4554 4578 5014 5313 5886 6831 6867 7194 7521 8393 8694 10626 10791 13662 13734 15042 15939 16786 17549 20601 21582 22563 25179 27577 31878 32373 35098 41202 45126 47817 50358 52647 55154 64746 67689 75537 82731 95634 105294 135378 151074 157941 165462 193039 226611 248193 315882 386078 453222 473823 496386 579117 744579 947646 1158234 1489158 1737351 3474702 5212053 10424106