Search a number
-
+
10136490 = 2357134779
BaseRepresentation
bin100110101010…
…101110101010
3201001222122120
4212222232222
510043331430
61001132110
7152105310
oct46525652
921058576
1010136490
1157a3771
12348a036
13213ba30
1414bc0b0
15d53610
hex9aabaa

10136490 has 128 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 2066688.

The previous prime is 10136453. The next prime is 10136501. The reversal of 10136490 is 9463101.

It is a self number, because there is not a number n which added to its sum of digits gives 10136490.

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 63 ways as a sum of consecutive naturals, for example, 128271 + ... + 128349.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 210136490 is an apocalyptic number.

10136490 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 10136490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

10136490 is an abundant number, since it is smaller than the sum of its proper divisors (20829270).

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

10136490 is a wasteful number, since it uses less digits than its factorization.

10136490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 10136490 is about 3183.7854827234. The cubic root of 10136490 is about 216.4192389190.

Adding to 10136490 its reverse (9463101), we get a palindrome (19599591).

It can be divided in two parts, 1013 and 6490, that added together give a triangular number (7503 = T122).

The spelling of 10136490 in words is "ten million, one hundred thirty-six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 47 65 70 78 79 91 94 105 130 141 158 182 195 210 235 237 273 282 329 390 395 455 470 474 546 553 611 658 705 790 910 987 1027 1106 1185 1222 1365 1410 1645 1659 1833 1974 2054 2370 2730 2765 3055 3081 3290 3318 3666 3713 4277 4935 5135 5530 6110 6162 7189 7426 8295 8554 9165 9870 10270 11139 12831 14378 15405 16590 18330 18565 21385 21567 22278 25662 25991 30810 35945 37130 42770 43134 48269 51982 55695 64155 71890 77973 96538 107835 111390 128310 129955 144807 155946 215670 241345 259910 289614 337883 389865 482690 675766 724035 779730 1013649 1448070 1689415 2027298 3378830 5068245 10136490