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17053056 = 2732113131
BaseRepresentation
bin100000100001…
…1010110000000
31012002101101200
41001003112000
513331144211
61405301200
7264643236
oct101032600
935071350
1017053056
119698239
125864800
1336c0c87
14239c956
15176cb56
hex1043580

17053056 has 96 divisors (see below), whose sum is σ = 49884120. Its totient is φ = 5591040.

The previous prime is 17053039. The next prime is 17053067. The reversal of 17053056 is 65035071.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130111 + ... + 130241.

Almost surely, 217053056 is an apocalyptic number.

17053056 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 17053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24942060).

17053056 is an abundant number, since it is smaller than the sum of its proper divisors (32831064).

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

17053056 is a wasteful number, since it uses less digits than its factorization.

17053056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 17053056 is about 4129.5345984747. The cubic root of 17053056 is about 257.3953752228.

It can be divided in two parts, 1705 and 3056, that added together give a square (4761 = 692).

The spelling of 17053056 in words is "seventeen million, fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 131 144 192 226 262 288 339 384 393 452 524 576 678 786 904 1017 1048 1152 1179 1356 1572 1808 2034 2096 2358 2712 3144 3616 4068 4192 4716 5424 6288 7232 8136 8384 9432 10848 12576 14464 14803 16272 16768 18864 21696 25152 29606 32544 37728 43392 44409 50304 59212 65088 75456 88818 118424 130176 133227 150912 177636 236848 266454 355272 473696 532908 710544 947392 1065816 1421088 1894784 2131632 2842176 4263264 5684352 8526528 17053056