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10330496 = 271122329
BaseRepresentation
bin100111011010…
…000110000000
3201102211202222
4213122012000
510121033441
61005230212
7153544031
oct47320600
921384688
1010330496
115916500
123562368
1321a9127
14152ca88
15d90d4b
hex9da180

10330496 has 96 divisors (see below), whose sum is σ = 24418800. Its totient is φ = 4336640.

The previous prime is 10330493. The next prime is 10330499. The reversal of 10330496 is 69403301.

It is an interprime number because it is at equal distance from previous prime (10330493) and next prime (10330499).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330493) 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, 356210 + ... + 356238.

Almost surely, 210330496 is an apocalyptic number.

10330496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10330496 is the 1856-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10330496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209400).

10330496 is an abundant number, since it is smaller than the sum of its proper divisors (14088304).

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

10330496 is a wasteful number, since it uses less digits than its factorization.

10330496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 10330496 is about 3214.1088967239. The cubic root of 10330496 is about 217.7912318342.

Adding to 10330496 its reverse (69403301), we get a palindrome (79733797).

The spelling of 10330496 in words is "ten million, three hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 23 29 32 44 46 58 64 88 92 116 121 128 176 184 232 242 253 319 352 368 464 484 506 638 667 704 736 928 968 1012 1276 1334 1408 1472 1856 1936 2024 2552 2668 2783 2944 3509 3712 3872 4048 5104 5336 5566 7018 7337 7744 8096 10208 10672 11132 14036 14674 15488 16192 20416 21344 22264 28072 29348 32384 40832 42688 44528 56144 58696 80707 85376 89056 112288 117392 161414 178112 224576 234784 322828 356224 449152 469568 645656 939136 1291312 2582624 5165248 10330496