Search a number
-
+
10363104 = 253235983
BaseRepresentation
bin100111100010…
…000011100000
3201111111111200
4213202003200
510123104404
61010041200
7154041063
oct47420340
921444450
1010363104
115938a54
123579200
1321bac1b
14153a8da
15d9a839
hex9e20e0

10363104 has 36 divisors (see below), whose sum is σ = 29470896. Its totient is φ = 3454272.

The previous prime is 10363103. The next prime is 10363109. The reversal of 10363104 is 40136301.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×103631043 (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10363103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17704 + ... + 18279.

It is an arithmetic number, because the mean of its divisors is an integer number (818636).

Almost surely, 210363104 is an apocalyptic number.

It is an amenable number.

10363104 is an abundant number, since it is smaller than the sum of its proper divisors (19107792).

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

10363104 is a wasteful number, since it uses less digits than its factorization.

10363104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35999 (or 35988 counting only the distinct ones).

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

The square root of 10363104 is about 3219.1775347129. The cubic root of 10363104 is about 218.0201423467.

Adding to 10363104 its reverse (40136301), we get a palindrome (50499405).

The spelling of 10363104 in words is "ten million, three hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35983 71966 107949 143932 215898 287864 323847 431796 575728 647694 863592 1151456 1295388 1727184 2590776 3454368 5181552 10363104