Search a number
-
+
10136340 = 223456257
BaseRepresentation
bin100110101010…
…101100010100
3201001222110000
4212222230110
510043330330
61001131300
7152105004
oct46525424
921058400
1010136340
1157a3645
123489b30
13213b946
1414bc004
15d53560
hex9aab14

10136340 has 60 divisors (see below), whose sum is σ = 31803156. Its totient is φ = 2702592.

The previous prime is 10136339. The next prime is 10136351. The reversal of 10136340 is 4363101.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 2452356 = 2772^2 + 1566^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1509 + ... + 4748.

Almost surely, 210136340 is an apocalyptic number.

10136340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10136340 is an abundant number, since it is smaller than the sum of its proper divisors (21666816).

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

10136340 is a wasteful number, since it uses less digits than its factorization.

10136340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 10136340 is about 3183.7619257727. The cubic root of 10136340 is about 216.4181713882.

Adding to 10136340 its reverse (4363101), we get a palindrome (14499441).

The spelling of 10136340 in words is "ten million, one hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 6257 12514 18771 25028 31285 37542 56313 62570 75084 93855 112626 125140 168939 187710 225252 281565 337878 375420 506817 563130 675756 844695 1013634 1126260 1689390 2027268 2534085 3378780 5068170 10136340