Search a number
-
+
103036564 = 223761101113
BaseRepresentation
bin1100010010000…
…11011010010100
321011212210121001
412021003122110
5202334132224
614120233044
72360540101
oct611033224
9234783531
10103036564
1153185994
122a60b784
13184679a7
14d981aa8
1590a4544
hex6243694

103036564 has 48 divisors (see below), whose sum is σ = 191768976. Its totient is φ = 48384000.

The previous prime is 103036559. The next prime is 103036579. The reversal of 103036564 is 465630301.

It can be written as a sum of positive squares in 8 ways, for example, as 1188100 + 101848464 = 1090^2 + 10092^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 911772 + ... + 911884.

It is an arithmetic number, because the mean of its divisors is an integer number (3995187).

Almost surely, 2103036564 is an apocalyptic number.

It is an amenable number.

103036564 is a deficient number, since it is larger than the sum of its proper divisors (88732412).

103036564 is a wasteful number, since it uses less digits than its factorization.

103036564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 103036564 is about 10150.6927842389. The cubic root of 103036564 is about 468.8102760059.

Adding to 103036564 its reverse (465630301), we get a palindrome (568666865).

The spelling of 103036564 in words is "one hundred three million, thirty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 37 61 74 101 113 122 148 202 226 244 404 452 2257 3737 4181 4514 6161 6893 7474 8362 9028 11413 12322 13786 14948 16724 22826 24644 27572 45652 227957 255041 422281 455914 510082 696193 844562 911828 1020164 1392386 1689124 2784772 25759141 51518282 103036564