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10682944 = 26712351
BaseRepresentation
bin101000110000…
…001001000000
3202002202020121
4220300021000
510213323234
61020550024
7156542416
oct50601100
922082217
1010682944
116037288
1236b2314
1322a068c
1415c12b6
15e104b4
hexa30240

10682944 has 28 divisors (see below), whose sum is σ = 21506688. Its totient is φ = 5264000.

The previous prime is 10682939. The next prime is 10682957. The reversal of 10682944 is 44928601.

It is a super-2 number, since 2×106829442 = 228250585014272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3369 + ... + 5719.

It is an arithmetic number, because the mean of its divisors is an integer number (768096).

Almost surely, 210682944 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 10682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10753344).

10682944 is an abundant number, since it is smaller than the sum of its proper divisors (10823744).

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

10682944 is an equidigital number, since it uses as much as digits as its factorization.

10682944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 10682944 is about 3268.4773213226. The cubic root of 10682944 is about 220.2403983733.

The spelling of 10682944 in words is "ten million, six hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 2272 2351 4544 4702 9404 18808 37616 75232 150464 166921 333842 667684 1335368 2670736 5341472 10682944