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10717056 = 27337443
BaseRepresentation
bin101000111000…
…011110000000
3202011111001000
4220320132000
510220421211
61021412000
7160044030
oct50703600
922144030
1010717056
11605a979
12370a000
1322b306c
1415cd8c0
15e1a656
hexa38780

10717056 has 128 divisors (see below), whose sum is σ = 36230400. Its totient is φ = 3055104.

The previous prime is 10717001. The next prime is 10717067. The reversal of 10717056 is 65071701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×107170563 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23971 + ... + 24413.

It is an arithmetic number, because the mean of its divisors is an integer number (283050).

Almost surely, 210717056 is an apocalyptic number.

10717056 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 10717056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18115200).

10717056 is an abundant number, since it is smaller than the sum of its proper divisors (25513344).

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

10717056 is an equidigital number, since it uses as much as digits as its factorization.

10717056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 10717056 is about 3273.6914943226. The cubic root of 10717056 is about 220.4745678475.

Adding to 10717056 its reverse (65071701), we get a palindrome (75788757).

The spelling of 10717056 in words is "ten million, seven hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 443 448 504 576 672 756 864 886 896 1008 1152 1329 1344 1512 1728 1772 2016 2658 2688 3024 3101 3456 3544 3987 4032 5316 6048 6202 7088 7974 8064 9303 10632 11961 12096 12404 14176 15948 18606 21264 23922 24192 24808 27909 28352 31896 37212 42528 47844 49616 55818 56704 63792 74424 83727 85056 95688 99232 111636 127584 148848 167454 170112 191376 198464 223272 255168 297696 334908 382752 396928 446544 510336 595392 669816 765504 893088 1190784 1339632 1531008 1786176 2679264 3572352 5358528 10717056