Search a number
-
+
103540470 = 235112631193
BaseRepresentation
bin1100010101111…
…10011011110110
321012211101211020
412022332123312
5203001243340
614135122010
72365036155
oct612763366
9235741736
10103540470
115349a540
122a813306
13185b3167
14da7359c
1591539d0
hex62be6f6

103540470 has 64 divisors (see below), whose sum is σ = 272346624. Its totient is φ = 24984320.

The previous prime is 103540439. The next prime is 103540471. The reversal of 103540470 is 74045301.

It is a super-3 number, since 3×1035404703 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103540470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103540471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86194 + ... + 87386.

It is an arithmetic number, because the mean of its divisors is an integer number (4255416).

Almost surely, 2103540470 is an apocalyptic number.

103540470 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 103540470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136173312).

103540470 is an abundant number, since it is smaller than the sum of its proper divisors (168806154).

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

103540470 is a wasteful number, since it uses less digits than its factorization.

103540470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 103540470 is about 10175.4837722833. The cubic root of 103540470 is about 469.5732810202.

Adding to 103540470 its reverse (74045301), we get a palindrome (177585771).

The spelling of 103540470 in words is "one hundred three million, five hundred forty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 263 330 526 789 1193 1315 1578 2386 2630 2893 3579 3945 5786 5965 7158 7890 8679 11930 13123 14465 17358 17895 26246 28930 35790 39369 43395 65615 78738 86790 131230 196845 313759 393690 627518 941277 1568795 1882554 3137590 3451349 4706385 6902698 9412770 10354047 17256745 20708094 34513490 51770235 103540470