Search a number
-
+
10099336 = 2313192269
BaseRepresentation
bin100110100001…
…101010001000
3201000002200111
4212201222020
510041134321
61000244104
7151562062
oct46415210
921002614
1010099336
115778865
123470634
132127b50
1414ac732
15d475e1
hex9a1a88

10099336 has 48 divisors (see below), whose sum is σ = 21602700. Its totient is φ = 4399488.

The previous prime is 10099321. The next prime is 10099351. The reversal of 10099336 is 63399001.

It is an interprime number because it is at equal distance from previous prime (10099321) and next prime (10099351).

It can be written as a sum of positive squares in 2 ways, for example, as 8122500 + 1976836 = 2850^2 + 1406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10099298 and 10099307.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37410 + ... + 37678.

Almost surely, 210099336 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 10099336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10801350).

10099336 is an abundant number, since it is smaller than the sum of its proper divisors (11503364).

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

10099336 is a wasteful number, since it uses less digits than its factorization.

10099336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 31.

The square root of 10099336 is about 3177.9452481124. The cubic root of 10099336 is about 216.1544962359.

The spelling of 10099336 in words is "ten million, ninety-nine thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 269 361 494 538 722 988 1076 1444 1976 2152 2888 3497 4693 5111 6994 9386 10222 13988 18772 20444 27976 37544 40888 66443 97109 132886 194218 265772 388436 531544 776872 1262417 2524834 5049668 10099336