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1066716160 = 2105533931
BaseRepresentation
bin111111100101001…
…100110000000000
32202100012210110221
4333211030300000
54141034404120
6253503232424
735301636436
oct7745146000
92670183427
101066716160
114a8151704
122592a8714
1313ccc90c3
14a1956d56
15639ae0aa
hex3f94cc00

1066716160 has 88 divisors (see below), whose sum is σ = 2607812496. Its totient is φ = 418529280.

The previous prime is 1066716143. The next prime is 1066716239. The reversal of 1066716160 is 616176601.

It is a super-2 number, since 2×10667161602 = 2275766732010291200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269395 + ... + 273325.

Almost surely, 21066716160 is an apocalyptic number.

1066716160 is a gapful number since it is divisible by the number (10) 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 1066716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303906248).

1066716160 is an abundant number, since it is smaller than the sum of its proper divisors (1541096336).

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

1066716160 is an equidigital number, since it uses as much as digits as its factorization.

1066716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 1066716160 is about 32660.6209371469. The cubic root of 1066716160 is about 1021.7617126171.

The spelling of 1066716160 in words is "one billion, sixty-six million, seven hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 512 530 640 848 1024 1060 1280 1696 2120 2560 3392 3931 4240 5120 6784 7862 8480 13568 15724 16960 19655 27136 31448 33920 39310 54272 62896 67840 78620 125792 135680 157240 208343 251584 271360 314480 416686 503168 628960 833372 1006336 1041715 1257920 1666744 2012672 2083430 2515840 3333488 4025344 4166860 5031680 6666976 8333720 10063360 13333952 16667440 20126720 26667904 33334880 53335808 66669760 106671616 133339520 213343232 266679040 533358080 1066716160