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1066345020 = 2233513151901
BaseRepresentation
bin111111100011110…
…010001000111100
32202022111221101000
4333203302020330
54140441020040
6253451250300
735265532416
oct7743621074
92668457330
101066345020
114a7a18884
12259149990
1313cbc91b0
14a189b9b6
1563939130
hex3f8f223c

1066345020 has 96 divisors (see below), whose sum is σ = 3572735040. Its totient is φ = 262483200.

The previous prime is 1066345019. The next prime is 1066345031. The reversal of 1066345020 is 205436601.

1066345020 is a `hidden beast` number, since 1 + 0 + 6 + 634 + 5 + 0 + 20 = 666.

It is a super-3 number, since 3×10663450203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68931 + ... + 82970.

It is an arithmetic number, because the mean of its divisors is an integer number (37215990).

Almost surely, 21066345020 is an apocalyptic number.

1066345020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066345020 is an abundant number, since it is smaller than the sum of its proper divisors (2506390020).

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

1066345020 is a wasteful number, since it uses less digits than its factorization.

1066345020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151932 (or 151924 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1066345020 is about 32654.9386770210. The cubic root of 1066345020 is about 1021.6431991691.

The spelling of 1066345020 in words is "one billion, sixty-six million, three hundred forty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 151901 303802 455703 607604 759505 911406 1367109 1519010 1822812 1974713 2278515 2734218 3038020 3949426 4101327 4557030 5468436 5924139 6835545 7898852 8202654 9114060 9873565 11848278 13671090 16405308 17772417 19747130 20506635 23696556 27342180 29620695 35544834 39494260 41013270 53317251 59241390 71089668 82026540 88862085 106634502 118482780 177724170 213269004 266586255 355448340 533172510 1066345020