Search a number
-
+
10653150 = 2352293179
BaseRepresentation
bin101000101000…
…110111011110
3202001020101010
4220220313132
510211400100
61020200050
7156356514
oct50506736
922036333
1010653150
116016962
123699026
13228cc51
1415b44b4
15e06750
hexa28dde

10653150 has 96 divisors (see below), whose sum is σ = 28569600. Its totient is φ = 2620800.

The previous prime is 10653113. The next prime is 10653157. The reversal of 10653150 is 5135601.

It is a happy number.

It is a super-2 number, since 2×106531502 = 226979209845000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10653157) 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 47 ways as a sum of consecutive naturals, for example, 134811 + ... + 134889.

It is an arithmetic number, because the mean of its divisors is an integer number (297600).

Almost surely, 210653150 is an apocalyptic number.

10653150 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 10653150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284800).

10653150 is an abundant number, since it is smaller than the sum of its proper divisors (17916450).

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

10653150 is a wasteful number, since it uses less digits than its factorization.

10653150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 10653150 is about 3263.9163592225. The cubic root of 10653150 is about 220.0354626029.

Adding to 10653150 its reverse (5135601), we get a palindrome (15788751).

The spelling of 10653150 in words is "ten million, six hundred fifty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 31 50 58 62 75 79 87 93 145 150 155 158 174 186 237 290 310 395 435 465 474 725 775 790 870 899 930 1185 1450 1550 1798 1975 2175 2291 2325 2370 2449 2697 3950 4350 4495 4582 4650 4898 5394 5925 6873 7347 8990 11455 11850 12245 13485 13746 14694 22475 22910 24490 26970 34365 36735 44950 57275 61225 67425 68730 71021 73470 114550 122450 134850 142042 171825 183675 213063 343650 355105 367350 426126 710210 1065315 1775525 2130630 3551050 5326575 10653150