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10327296 = 283717113
BaseRepresentation
bin100111011001…
…010100000000
3201102200101110
4213121110000
510120433141
61005203320
7153531510
oct47312400
921380343
1010327296
115914061
123560540
1321a7835
14152b840
15d8ee16
hex9d9500

10327296 has 144 divisors (see below), whose sum is σ = 33554304. Its totient is φ = 2752512.

The previous prime is 10327249. The next prime is 10327297. The reversal of 10327296 is 69272301.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10327297) 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, 91336 + ... + 91448.

It is an arithmetic number, because the mean of its divisors is an integer number (233016).

Almost surely, 210327296 is an apocalyptic number.

10327296 is a gapful number since it is divisible by the number (16) 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 10327296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777152).

10327296 is an abundant number, since it is smaller than the sum of its proper divisors (23227008).

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

10327296 is a wasteful number, since it uses less digits than its factorization.

10327296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 10327296 is about 3213.6110530056. The cubic root of 10327296 is about 217.7687416616.

Adding to 10327296 its reverse (69272301), we get a palindrome (79599597).

The spelling of 10327296 in words is "ten million, three hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 113 119 128 136 168 192 204 224 226 238 256 272 336 339 357 384 408 448 452 476 544 672 678 714 768 791 816 896 904 952 1088 1344 1356 1428 1582 1632 1792 1808 1904 1921 2176 2373 2688 2712 2856 3164 3264 3616 3808 3842 4352 4746 5376 5424 5712 5763 6328 6528 7232 7616 7684 9492 10848 11424 11526 12656 13056 13447 14464 15232 15368 18984 21696 22848 23052 25312 26894 28928 30464 30736 37968 40341 43392 45696 46104 50624 53788 61472 75936 80682 86784 91392 92208 101248 107576 122944 151872 161364 184416 202496 215152 245888 303744 322728 368832 430304 491776 607488 645456 737664 860608 1290912 1475328 1721216 2581824 3442432 5163648 10327296