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10430082 = 2321329253
BaseRepresentation
bin100111110010…
…011010000010
3201121220101100
4213302122002
510132230312
61011315230
7154440255
oct47623202
921556340
1010430082
115984303
1235abb16
132212560
14155709c
15db05dc
hex9f2682

10430082 has 72 divisors (see below), whose sum is σ = 25680564. Its totient is φ = 3040128.

The previous prime is 10430059. The next prime is 10430083. The reversal of 10430082 is 28003401.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4626801 + 5803281 = 2151^2 + 2409^2 .

It is a super-2 number, since 2×104300822 = 217573221053448, which contains 22 as substring.

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 (10430083) 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 35 ways as a sum of consecutive naturals, for example, 196768 + ... + 196820.

Almost surely, 210430082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10430082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12840282).

10430082 is an abundant number, since it is smaller than the sum of its proper divisors (15250482).

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

10430082 is a wasteful number, since it uses less digits than its factorization.

10430082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

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

The square root of 10430082 is about 3229.5637476291. The cubic root of 10430082 is about 218.4888309497.

Adding to 10430082 its reverse (28003401), we get a palindrome (38433483).

The spelling of 10430082 in words is "ten million, four hundred thirty thousand, eighty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 53 58 78 87 106 117 159 174 234 261 318 377 477 522 689 754 841 954 1131 1378 1537 1682 2067 2262 2523 3074 3393 4134 4611 5046 6201 6786 7569 9222 10933 12402 13833 15138 19981 21866 27666 32799 39962 44573 59943 65598 89146 98397 119886 133719 179829 196794 267438 359658 401157 579449 802314 1158898 1738347 3476694 5215041 10430082