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10020024 = 23347472
BaseRepresentation
bin100110001110…
…010010111000
3200212001220000
4212032102320
510031120044
6554433000
7151111620
oct46162270
920761800
1010020024
115724213
123432760
1320caa11
14148b880
15d2dd69
hex98e4b8

10020024 has 120 divisors (see below), whose sum is σ = 32771640. Its totient is φ = 2801952.

The previous prime is 10020013. The next prime is 10020041. The reversal of 10020024 is 42002001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 10019988 and 10020015.

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 29 ways as a sum of consecutive naturals, for example, 213169 + ... + 213215.

It is an arithmetic number, because the mean of its divisors is an integer number (273097).

Almost surely, 210020024 is an apocalyptic number.

10020024 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 10020024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16385820).

10020024 is an abundant number, since it is smaller than the sum of its proper divisors (22751616).

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

10020024 is an equidigital number, since it uses as much as digits as its factorization.

10020024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10020024 is about 3165.4421492108. The cubic root of 10020024 is about 215.5871744613.

Adding to 10020024 its reverse (42002001), we get a palindrome (52022025).

The spelling of 10020024 in words is "ten million, twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 81 84 94 108 126 141 162 168 188 189 216 252 282 324 329 376 378 423 504 564 567 648 658 756 846 987 1128 1134 1269 1316 1512 1692 1974 2209 2268 2538 2632 2961 3384 3807 3948 4418 4536 5076 5922 6627 7614 7896 8836 8883 10152 11844 13254 15228 15463 17672 17766 19881 23688 26508 26649 30456 30926 35532 39762 46389 53016 53298 59643 61852 71064 79524 92778 106596 119286 123704 139167 159048 178929 185556 213192 238572 278334 357858 371112 417501 477144 556668 715716 835002 1113336 1252503 1431432 1670004 2505006 3340008 5010012 10020024