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1066640040 = 233255095821
BaseRepresentation
bin111111100100111…
…010001010101000
32202100001221001200
4333210322022220
54141024440130
6253501444200
735301201504
oct7744721250
92670057050
101066640040
114a80aa4a4
12259270660
1313cca056b
14a1937304
1563996760
hex3f93a2a8

1066640040 has 96 divisors (see below), whose sum is σ = 3473987400. Its totient is φ = 283829760.

The previous prime is 1066640023. The next prime is 1066640041. The reversal of 1066640040 is 400466601.

It can be written as a sum of positive squares in 4 ways, for example, as 1058721444 + 7918596 = 32538^2 + 2814^2 .

It is a super-2 number, since 2×10666400402 = 2275441949862403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066639986 and 1066640013.

It is not an unprimeable number, because it can be changed into a prime (1066640041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180330 + ... + 186150.

Almost surely, 21066640040 is an apocalyptic number.

1066640040 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 1066640040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736993700).

1066640040 is an abundant number, since it is smaller than the sum of its proper divisors (2407347360).

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

1066640040 is a wasteful number, since it uses less digits than its factorization.

1066640040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6347 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1066640040 is about 32659.4555986471. The cubic root of 1066640040 is about 1021.7374080099.

The spelling of 1066640040 in words is "one billion, sixty-six million, six hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 509 1018 1527 2036 2545 3054 4072 4581 5090 5821 6108 7635 9162 10180 11642 12216 15270 17463 18324 20360 22905 23284 29105 30540 34926 36648 45810 46568 52389 58210 61080 69852 87315 91620 104778 116420 139704 174630 183240 209556 232840 261945 349260 419112 523890 698520 1047780 2095560 2962889 5925778 8888667 11851556 14814445 17777334 23703112 26666001 29628890 35554668 44443335 53332002 59257780 71109336 88886670 106664004 118515560 133330005 177773340 213328008 266660010 355546680 533320020 1066640040