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10102482 = 23613241
BaseRepresentation
bin100110100010…
…011011010010
3201000021000000
4212202123102
510041234412
61000310430
7151604205
oct46423322
921007000
1010102482
115780165
123472416
132129400
1414ad93c
15d484dc
hex9a26d2

10102482 has 84 divisors (see below), whose sum is σ = 25202394. Its totient is φ = 3032640.

The previous prime is 10102481. The next prime is 10102493. The reversal of 10102482 is 28420101.

It can be written as a sum of positive squares in 3 ways, for example, as 2368521 + 7733961 = 1539^2 + 2781^2 .

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 (10102481) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 246382 + ... + 246422.

Almost surely, 210102482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12601197).

10102482 is an abundant number, since it is smaller than the sum of its proper divisors (15099912).

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

10102482 is an equidigital number, since it uses as much as digits as its factorization.

10102482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

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

The square root of 10102482 is about 3178.4401834862. The cubic root of 10102482 is about 216.1769383531.

Adding to 10102482 its reverse (28420101), we get a palindrome (38522583).

The spelling of 10102482 in words is "ten million, one hundred two thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 81 82 117 123 162 169 234 243 246 338 351 369 486 507 533 702 729 738 1014 1053 1066 1107 1458 1521 1599 2106 2214 3042 3159 3198 3321 4563 4797 6318 6642 6929 9126 9477 9594 9963 13689 13858 14391 18954 19926 20787 27378 28782 29889 41067 41574 43173 59778 62361 82134 86346 123201 124722 129519 187083 246402 259038 374166 388557 561249 777114 1122498 1683747 3367494 5051241 10102482