Search a number
-
+
10641210 = 2354373113
BaseRepresentation
bin101000100101…
…111100111010
3202000121222220
4220211330322
510211004320
61020024510
7156306636
oct50457472
922017886
1010641210
116008998
123692136
132287698
1415addc6
15e02e40
hexa25f3a

10641210 has 64 divisors (see below), whose sum is σ = 26725248. Its totient is φ = 2709504.

The previous prime is 10641199. The next prime is 10641227. The reversal of 10641210 is 1214601.

It is a super-2 number, since 2×106412102 = 226470700528200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10641210.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 94114 + ... + 94226.

It is an arithmetic number, because the mean of its divisors is an integer number (417582).

Almost surely, 210641210 is an apocalyptic number.

10641210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10641210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13362624).

10641210 is an abundant number, since it is smaller than the sum of its proper divisors (16084038).

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

10641210 is a wasteful number, since it uses less digits than its factorization.

10641210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10641210 is about 3262.0867554374. The cubic root of 10641210 is about 219.9532269711.

Adding to 10641210 its reverse (1214601), we get a palindrome (11855811).

The spelling of 10641210 in words is "ten million, six hundred forty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 73 86 113 129 146 215 219 226 258 339 365 430 438 565 645 678 730 1095 1130 1290 1695 2190 3139 3390 4859 6278 8249 9417 9718 14577 15695 16498 18834 24295 24747 29154 31390 41245 47085 48590 49494 72885 82490 94170 123735 145770 247470 354707 709414 1064121 1773535 2128242 3547070 5320605 10641210