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1066903936 = 2773171541
BaseRepresentation
bin111111100101111…
…010100110000000
32202100120100001121
4333211322212000
54141111411221
6253511242024
735303351050
oct7745724600
92670510047
101066903936
114a826a79a
12259379314
13140063707
14a19a5560
15639e9a41
hex3f97a980

1066903936 has 128 divisors (see below), whose sum is σ = 2547486720. Its totient is φ = 435456000.

The previous prime is 1066903883. The next prime is 1066904081. The reversal of 1066903936 is 6393096601.

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

It is a super-2 number, since 2×10669039362 = 2276568017304584192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1066903892 and 1066903901.

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, 1971826 + ... + 1972366.

It is an arithmetic number, because the mean of its divisors is an integer number (19902240).

Almost surely, 21066903936 is an apocalyptic number.

1066903936 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 1066903936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273743360).

1066903936 is an abundant number, since it is smaller than the sum of its proper divisors (1480582784).

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

1066903936 is an equidigital number, since it uses as much as digits as its factorization.

1066903936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 43.

The square root of 1066903936 is about 32663.4954651213. The cubic root of 1066903936 is about 1021.8216632949.

The spelling of 1066903936 in words is "one billion, sixty-six million, nine hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 71 112 124 128 142 217 224 248 284 434 448 496 497 541 568 868 896 992 994 1082 1136 1736 1984 1988 2164 2201 2272 3472 3787 3968 3976 4328 4402 4544 6944 7574 7952 8656 8804 9088 13888 15148 15407 15904 16771 17312 17608 27776 30296 30814 31808 33542 34624 35216 38411 60592 61628 63616 67084 69248 70432 76822 117397 121184 123256 134168 140864 153644 234794 242368 246512 268336 268877 281728 307288 469588 484736 493024 536672 537754 614576 939176 986048 1073344 1075508 1190741 1229152 1878352 1972096 2146688 2151016 2381482 2458304 3756704 4302032 4762964 4916608 7513408 8335187 8604064 9525928 15026816 16670374 17208128 19051856 33340748 34416256 38103712 66681496 76207424 133362992 152414848 266725984 533451968 1066903936