Search a number
-
+
10336104 = 2332891613
BaseRepresentation
bin100111011011…
…011101101000
3201110010110200
4213123131220
510121223404
61005312200
7153566262
oct47333550
921403420
1010336104
11591a739
123565660
1321ab84c
141530b32
15d92839
hex9db768

10336104 has 48 divisors (see below), whose sum is σ = 28325700. Its totient is φ = 3404544.

The previous prime is 10336103. The next prime is 10336121. The reversal of 10336104 is 40163301.

It can be written as a sum of positive squares in 2 ways, for example, as 10227204 + 108900 = 3198^2 + 330^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10336103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5602 + ... + 7214.

Almost surely, 210336104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10336104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14162850).

10336104 is an abundant number, since it is smaller than the sum of its proper divisors (17989596).

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

10336104 is a wasteful number, since it uses less digits than its factorization.

10336104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1707 counting only the distinct ones).

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

The square root of 10336104 is about 3214.9811819045. The cubic root of 10336104 is about 217.8306346626.

Adding to 10336104 its reverse (40163301), we get a palindrome (50499405).

It can be divided in two parts, 10336 and 104, that added together give a triangular number (10440 = T144).

The spelling of 10336104 in words is "ten million, three hundred thirty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 1613 2136 3204 3226 4839 6408 6452 9678 12904 14517 19356 29034 38712 58068 116136 143557 287114 430671 574228 861342 1148456 1292013 1722684 2584026 3445368 5168052 10336104