Search a number
-
+
10409196 = 2237831493
BaseRepresentation
bin100111101101…
…010011101100
3201120211201210
4213231103230
510131043241
61011034420
7154322340
oct47552354
921524653
1010409196
11596a646
12359ba10
132205bb5
14154d620
15da9316
hex9ed4ec

10409196 has 48 divisors (see below), whose sum is σ = 28111104. Its totient is φ = 2936256.

The previous prime is 10409183. The next prime is 10409197. The reversal of 10409196 is 69190401.

It is a super-2 number, since 2×104091962 = 216702722732832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10409197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6226 + ... + 7718.

It is an arithmetic number, because the mean of its divisors is an integer number (585648).

Almost surely, 210409196 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 10409196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055552).

10409196 is an abundant number, since it is smaller than the sum of its proper divisors (17701908).

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

10409196 is a wasteful number, since it uses less digits than its factorization.

10409196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 10409196 is about 3226.3285635533. The cubic root of 10409196 is about 218.3428938701.

Adding to 10409196 its reverse (69190401), we get a palindrome (79599597).

The spelling of 10409196 in words is "ten million, four hundred nine thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1493 1743 2324 2986 3486 4479 5972 6972 8958 10451 17916 20902 31353 41804 62706 123919 125412 247838 371757 495676 743514 867433 1487028 1734866 2602299 3469732 5204598 10409196