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1066600000 = 26555333
BaseRepresentation
bin111111100100110…
…000011001000000
32202022222220010201
4333210300121000
54141022200000
6253500534544
735300643664
oct7744603100
92668886121
101066600000
114a8082404
12259251454
1313cc8827b
14a19268a4
156398996a
hex3f930640

1066600000 has 84 divisors (see below), whose sum is σ = 2645994708. Its totient is φ = 426560000.

The previous prime is 1066599997. The next prime is 1066600039. The reversal of 1066600000 is 66601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 522031104 + 544568896 = 22848^2 + 23336^2 .

It is a super-2 number, since 2×10666000002 = 2275271120000000000, 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 11 ways as a sum of consecutive naturals, for example, 197334 + ... + 202666.

It is an arithmetic number, because the mean of its divisors is an integer number (31499937).

Almost surely, 21066600000 is an apocalyptic number.

1066600000 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 1066600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322997354).

1066600000 is an abundant number, since it is smaller than the sum of its proper divisors (1579394708).

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

1066600000 is an frugal number, since it uses more digits than its factorization.

1066600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1066600000 is about 32658.8426004352. The cubic root of 1066600000 is about 1021.7246230415.

Adding to 1066600000 its reverse (66601), we get a palindrome (1066666601).

The spelling of 1066600000 in words is "one billion, sixty-six million, six hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 5333 6250 8000 10000 10666 12500 20000 21332 25000 26665 40000 42664 50000 53330 85328 100000 106660 133325 170656 200000 213320 266650 341312 426640 533300 666625 853280 1066600 1333250 1706560 2133200 2666500 3333125 4266400 5333000 6666250 8532800 10666000 13332500 16665625 21332000 26665000 33331250 42664000 53330000 66662500 106660000 133325000 213320000 266650000 533300000 1066600000