Search a number
-
+
10496112 = 24311103193
BaseRepresentation
bin101000000010…
…100001110000
3201202020221220
4220002201300
510141333422
61012545040
7155133624
oct50024160
921666856
1010496112
115a19980
123622180
132236623
141573184
15dc4e5c
hexa02870

10496112 has 80 divisors (see below), whose sum is σ = 30021888. Its totient is φ = 3133440.

The previous prime is 10496099. The next prime is 10496131. The reversal of 10496112 is 21169401.

It is a super-2 number, since 2×104961122 = 220336734233088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54288 + ... + 54480.

Almost surely, 210496112 is an apocalyptic number.

10496112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10496112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010944).

10496112 is an abundant number, since it is smaller than the sum of its proper divisors (19525776).

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

10496112 is a wasteful number, since it uses less digits than its factorization.

10496112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10496112 is about 3239.7703622325. The cubic root of 10496112 is about 218.9489257681.

Subtracting 10496112 from its reverse (21169401), we obtain a square (10673289 = 32672).

The spelling of 10496112 in words is "ten million, four hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 132 176 193 206 264 309 386 412 528 579 618 772 824 1133 1158 1236 1544 1648 2123 2266 2316 2472 3088 3399 4246 4532 4632 4944 6369 6798 8492 9064 9264 12738 13596 16984 18128 19879 25476 27192 33968 39758 50952 54384 59637 79516 101904 119274 159032 218669 238548 318064 437338 477096 656007 874676 954192 1312014 1749352 2624028 3498704 5248056 10496112