Search a number
-
+
103613706 = 23271495519
BaseRepresentation
bin1100010110100…
…00010100001010
321012222010021200
412023100110022
5203011114311
614140445030
72365462530
oct613202412
9235863250
10103613706
115353a569
122a849776
131860a5b1
14da92150
15916a556
hex62d050a

103613706 has 48 divisors (see below), whose sum is σ = 258336000. Its totient is φ = 29399904.

The previous prime is 103613701. The next prime is 103613717. The reversal of 103613706 is 607316301.

103613706 = T266 + T267 + ... + T861.

It is a super-3 number, since 3×1036137063 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103613706.

It is not an unprimeable number, because it can be changed into a prime (103613701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16015 + ... + 21533.

It is an arithmetic number, because the mean of its divisors is an integer number (5382000).

Almost surely, 2103613706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103613706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129168000).

103613706 is an abundant number, since it is smaller than the sum of its proper divisors (154722294).

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

103613706 is a wasteful number, since it uses less digits than its factorization.

103613706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 103613706 is about 10179.0817857015. The cubic root of 103613706 is about 469.6839674145.

The spelling of 103613706 in words is "one hundred three million, six hundred thirteen thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 149 298 447 894 1043 1341 2086 2682 3129 5519 6258 9387 11038 16557 18774 33114 38633 49671 77266 99342 115899 231798 347697 695394 822331 1644662 2466993 4933986 5756317 7400979 11512634 14801958 17268951 34537902 51806853 103613706