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1066380876 = 2234115472
BaseRepresentation
bin111111100011111…
…010111001001100
32202022120202120000
4333203322321030
54140443142001
6253452124300
735266042101
oct7743727114
92668522500
101066380876
114a7a42810
12259166690
1313cc0c602
14a18aaaa8
1563944a86
hex3f8fae4c

1066380876 has 90 divisors (see below), whose sum is σ = 3046730148. Its totient is φ = 322554960.

The previous prime is 1066380869. The next prime is 1066380883. The reversal of 1066380876 is 6780836601.

1066380876 is a `hidden beast` number, since 1 + 0 + 6 + 638 + 0 + 8 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1066380869) and next prime (1066380883).

It is a super-2 number, since 2×10663808762 = 2274336345397054752, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1949235 + ... + 1949781.

Almost surely, 21066380876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066380876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523365074).

1066380876 is an abundant number, since it is smaller than the sum of its proper divisors (1980349272).

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

1066380876 is an equidigital number, since it uses as much as digits as its factorization.

1066380876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1066380876 is about 32655.4876858393. The cubic root of 1066380876 is about 1021.6546500057.

The spelling of 1066380876 in words is "one billion, sixty-six million, three hundred eighty thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 547 594 891 1094 1188 1641 1782 2188 3282 3564 4923 6017 6564 9846 12034 14769 18051 19692 24068 29538 36102 44307 54153 59076 72204 88614 108306 162459 177228 216612 299209 324918 487377 598418 649836 897627 974754 1196836 1795254 1949508 2692881 3291299 3590508 5385762 6582598 8078643 9873897 10771524 13165196 16157286 19747794 24235929 29621691 32314572 39495588 48471858 59243382 88865073 96943716 118486764 177730146 266595219 355460292 533190438 1066380876